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Finding the Fourth Proportional to 41,386.50, 62,098.02 and 13,684.50

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Solution

The fourth proportional to 41,386.50, 62,098.02 and 13,684.50 is: 20,532.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,386.50 : 62,098.02 = 13,684.50 : x
  2. Step 2: Convert to fraction form
    41,386.50/62,098.02 = 13,684.50/x
  3. Step 3: Cross multiply
    41,386.50x = 62,098.02 × 13,684.50
  4. Step 4: Simplify right side
    41,386.50x = 849,780,354.69
  5. Step 5: Solve for x
    x = 849,780,354.69/41,386.50
  6. Step 6: Final answer
    x = 20,532.79

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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.