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Finding the Fourth Proportional to 39,381.38, 59,099.42 and 16,007.84

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Solution

The fourth proportional to 39,381.38, 59,099.42 and 16,007.84 is: 24,022.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,381.38 : 59,099.42 = 16,007.84 : x
  2. Step 2: Convert to fraction form
    39,381.38/59,099.42 = 16,007.84/x
  3. Step 3: Cross multiply
    39,381.38x = 59,099.42 × 16,007.84
  4. Step 4: Simplify right side
    39,381.38x = 946,053,803.98
  5. Step 5: Solve for x
    x = 946,053,803.98/39,381.38
  6. Step 6: Final answer
    x = 24,022.87

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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.