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Finding the Fourth Proportional to 38,005, 52,445.34 and 22,089.32

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Solution

The fourth proportional to 38,005, 52,445.34 and 22,089.32 is: 30,482.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,005 : 52,445.34 = 22,089.32 : x
  2. Step 2: Convert to fraction form
    38,005/52,445.34 = 22,089.32/x
  3. Step 3: Cross multiply
    38,005x = 52,445.34 × 22,089.32
  4. Step 4: Simplify right side
    38,005x = 1,158,481,897.77
  5. Step 5: Solve for x
    x = 1,158,481,897.77/38,005
  6. Step 6: Final answer
    x = 30,482.35

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Find fourth proportional to 38,006, 52,446.72 and 22,090.32
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.