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Finding the Fourth Proportional to 38,500.43, 53,127.14 and 21,502.31

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Solution

The fourth proportional to 38,500.43, 53,127.14 and 21,502.31 is: 29,671.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,500.43 : 53,127.14 = 21,502.31 : x
  2. Step 2: Convert to fraction form
    38,500.43/53,127.14 = 21,502.31/x
  3. Step 3: Cross multiply
    38,500.43x = 53,127.14 × 21,502.31
  4. Step 4: Simplify right side
    38,500.43x = 1,142,356,233.69
  5. Step 5: Solve for x
    x = 1,142,356,233.69/38,500.43
  6. Step 6: Final answer
    x = 29,671.26

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