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Finding the Fourth Proportional to 42,737.49, 64,098.82 and 11,565.45

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Solution

The fourth proportional to 42,737.49, 64,098.82 and 11,565.45 is: 17,346.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,737.49 : 64,098.82 = 11,565.45 : x
  2. Step 2: Convert to fraction form
    42,737.49/64,098.82 = 11,565.45/x
  3. Step 3: Cross multiply
    42,737.49x = 64,098.82 × 11,565.45
  4. Step 4: Simplify right side
    42,737.49x = 741,331,697.77
  5. Step 5: Solve for x
    x = 741,331,697.77/42,737.49
  6. Step 6: Final answer
    x = 17,346.17

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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.