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Finding the Fourth Proportional to 41,902.50, 62,813.16 and 13,803.18

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Solution

The fourth proportional to 41,902.50, 62,813.16 and 13,803.18 is: 20,691.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,902.50 : 62,813.16 = 13,803.18 : x
  2. Step 2: Convert to fraction form
    41,902.50/62,813.16 = 13,803.18/x
  3. Step 3: Cross multiply
    41,902.50x = 62,813.16 × 13,803.18
  4. Step 4: Simplify right side
    41,902.50x = 867,021,353.85
  5. Step 5: Solve for x
    x = 867,021,353.85/41,902.50
  6. Step 6: Final answer
    x = 20,691.40

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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.