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Finding the Fourth Proportional to 42,082.64, 63,113.09 and 12,493.78

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Solution

The fourth proportional to 42,082.64, 63,113.09 and 12,493.78 is: 18,737.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,082.64 : 63,113.09 = 12,493.78 : x
  2. Step 2: Convert to fraction form
    42,082.64/63,113.09 = 12,493.78/x
  3. Step 3: Cross multiply
    42,082.64x = 63,113.09 × 12,493.78
  4. Step 4: Simplify right side
    42,082.64x = 788,521,061.58
  5. Step 5: Solve for x
    x = 788,521,061.58/42,082.64
  6. Step 6: Final answer
    x = 18,737.44

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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.