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Finding the Fourth Proportional to 38,412.42, 52,978.42 and 26,473.02

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Solution

The fourth proportional to 38,412.42, 52,978.42 and 26,473.02 is: 36,511.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,412.42 : 52,978.42 = 26,473.02 : x
  2. Step 2: Convert to fraction form
    38,412.42/52,978.42 = 26,473.02/x
  3. Step 3: Cross multiply
    38,412.42x = 52,978.42 × 26,473.02
  4. Step 4: Simplify right side
    38,412.42x = 1,402,498,772.23
  5. Step 5: Solve for x
    x = 1,402,498,772.23/38,412.42
  6. Step 6: Final answer
    x = 36,511.60

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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.