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Finding the Fourth Proportional to 41,658.40, 62,475.20 and 22,680

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Solution

The fourth proportional to 41,658.40, 62,475.20 and 22,680 is: 34,013.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,658.40 : 62,475.20 = 22,680 : x
  2. Step 2: Convert to fraction form
    41,658.40/62,475.20 = 22,680/x
  3. Step 3: Cross multiply
    41,658.40x = 62,475.20 × 22,680
  4. Step 4: Simplify right side
    41,658.40x = 1,416,937,536
  5. Step 5: Solve for x
    x = 1,416,937,536/41,658.40
  6. Step 6: Final answer
    x = 34,013.25

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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.