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Finding the Fourth Proportional to 42,658.38, 63,990.50 and 13,096.85

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Solution

The fourth proportional to 42,658.38, 63,990.50 and 13,096.85 is: 19,646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,658.38 : 63,990.50 = 13,096.85 : x
  2. Step 2: Convert to fraction form
    42,658.38/63,990.50 = 13,096.85/x
  3. Step 3: Cross multiply
    42,658.38x = 63,990.50 × 13,096.85
  4. Step 4: Simplify right side
    42,658.38x = 838,073,594.49
  5. Step 5: Solve for x
    x = 838,073,594.49/42,658.38
  6. Step 6: Final answer
    x = 19,646.17

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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.