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Finding the Fourth Proportional to 42,757.96, 64,138.38 and 11,593.96

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Solution

The fourth proportional to 42,757.96, 64,138.38 and 11,593.96 is: 17,391.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,757.96 : 64,138.38 = 11,593.96 : x
  2. Step 2: Convert to fraction form
    42,757.96/64,138.38 = 11,593.96/x
  3. Step 3: Cross multiply
    42,757.96x = 64,138.38 × 11,593.96
  4. Step 4: Simplify right side
    42,757.96x = 743,617,812.18
  5. Step 5: Solve for x
    x = 743,617,812.18/42,757.96
  6. Step 6: Final answer
    x = 17,391.33

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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.