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Finding the Fourth Proportional to 42,502.64, 64,006.92 and 37,022.13

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Solution

The fourth proportional to 42,502.64, 64,006.92 and 37,022.13 is: 55,753.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,502.64 : 64,006.92 = 37,022.13 : x
  2. Step 2: Convert to fraction form
    42,502.64/64,006.92 = 37,022.13/x
  3. Step 3: Cross multiply
    42,502.64x = 64,006.92 × 37,022.13
  4. Step 4: Simplify right side
    42,502.64x = 2,369,672,513.14
  5. Step 5: Solve for x
    x = 2,369,672,513.14/42,502.64
  6. Step 6: Final answer
    x = 55,753.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.