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Finding the Fourth Proportional to 38,248.81, 52,781.52 and 21,254.20

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Solution

The fourth proportional to 38,248.81, 52,781.52 and 21,254.20 is: 29,329.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,248.81 : 52,781.52 = 21,254.20 : x
  2. Step 2: Convert to fraction form
    38,248.81/52,781.52 = 21,254.20/x
  3. Step 3: Cross multiply
    38,248.81x = 52,781.52 × 21,254.20
  4. Step 4: Simplify right side
    38,248.81x = 1,121,828,930.13
  5. Step 5: Solve for x
    x = 1,121,828,930.13/38,248.81
  6. Step 6: Final answer
    x = 29,329.78

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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.