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Finding the Fourth Proportional to 42,707.72, 64,061.48 and 11,542.97

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Solution

The fourth proportional to 42,707.72, 64,061.48 and 11,542.97 is: 17,314.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,707.72 : 64,061.48 = 11,542.97 : x
  2. Step 2: Convert to fraction form
    42,707.72/64,061.48 = 11,542.97/x
  3. Step 3: Cross multiply
    42,707.72x = 64,061.48 × 11,542.97
  4. Step 4: Simplify right side
    42,707.72x = 739,459,930.81
  5. Step 5: Solve for x
    x = 739,459,930.81/42,707.72
  6. Step 6: Final answer
    x = 17,314.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.