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Finding the Fourth Proportional to 42,145.80, 63,222.32 and 10,981

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Solution

The fourth proportional to 42,145.80, 63,222.32 and 10,981 is: 16,472.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,145.80 : 63,222.32 = 10,981 : x
  2. Step 2: Convert to fraction form
    42,145.80/63,222.32 = 10,981/x
  3. Step 3: Cross multiply
    42,145.80x = 63,222.32 × 10,981
  4. Step 4: Simplify right side
    42,145.80x = 694,244,295.92
  5. Step 5: Solve for x
    x = 694,244,295.92/42,145.80
  6. Step 6: Final answer
    x = 16,472.44

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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.