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Finding the Fourth Proportional to 38,482.92, 53,114.34 and 22,575.72

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Solution

The fourth proportional to 38,482.92, 53,114.34 and 22,575.72 is: 31,159.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,482.92 : 53,114.34 = 22,575.72 : x
  2. Step 2: Convert to fraction form
    38,482.92/53,114.34 = 22,575.72/x
  3. Step 3: Cross multiply
    38,482.92x = 53,114.34 × 22,575.72
  4. Step 4: Simplify right side
    38,482.92x = 1,199,094,467.82
  5. Step 5: Solve for x
    x = 1,199,094,467.82/38,482.92
  6. Step 6: Final answer
    x = 31,159.13

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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.