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Finding the Fourth Proportional to 41,677.50, 62,516.25 and 12,493.50

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Solution

The fourth proportional to 41,677.50, 62,516.25 and 12,493.50 is: 18,740.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,677.50 : 62,516.25 = 12,493.50 : x
  2. Step 2: Convert to fraction form
    41,677.50/62,516.25 = 12,493.50/x
  3. Step 3: Cross multiply
    41,677.50x = 62,516.25 × 12,493.50
  4. Step 4: Simplify right side
    41,677.50x = 781,046,769.38
  5. Step 5: Solve for x
    x = 781,046,769.38/41,677.50
  6. Step 6: Final answer
    x = 18,740.25

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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.