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Finding the Fourth Proportional to 42,737.60, 64,082.88 and 13,147.20

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Solution

The fourth proportional to 42,737.60, 64,082.88 and 13,147.20 is: 19,713.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,737.60 : 64,082.88 = 13,147.20 : x
  2. Step 2: Convert to fraction form
    42,737.60/64,082.88 = 13,147.20/x
  3. Step 3: Cross multiply
    42,737.60x = 64,082.88 × 13,147.20
  4. Step 4: Simplify right side
    42,737.60x = 842,510,439.94
  5. Step 5: Solve for x
    x = 842,510,439.94/42,737.60
  6. Step 6: Final answer
    x = 19,713.56

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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.