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Finding the Fourth Proportional to 41,439, 62,158.50 and 13,737

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Solution

The fourth proportional to 41,439, 62,158.50 and 13,737 is: 20,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,439 : 62,158.50 = 13,737 : x
  2. Step 2: Convert to fraction form
    41,439/62,158.50 = 13,737/x
  3. Step 3: Cross multiply
    41,439x = 62,158.50 × 13,737
  4. Step 4: Simplify right side
    41,439x = 853,871,314.50
  5. Step 5: Solve for x
    x = 853,871,314.50/41,439
  6. Step 6: Final answer
    x = 20,605.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.