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Finding the Fourth Proportional to 38,508.47, 53,141.10 and 21,512.96

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Solution

The fourth proportional to 38,508.47, 53,141.10 and 21,512.96 is: 29,687.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,508.47 : 53,141.10 = 21,512.96 : x
  2. Step 2: Convert to fraction form
    38,508.47/53,141.10 = 21,512.96/x
  3. Step 3: Cross multiply
    38,508.47x = 53,141.10 × 21,512.96
  4. Step 4: Simplify right side
    38,508.47x = 1,143,222,358.66
  5. Step 5: Solve for x
    x = 1,143,222,358.66/38,508.47
  6. Step 6: Final answer
    x = 29,687.56

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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.