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Finding the Fourth Proportional to 41,838.80, 62,758.20 and 15,540.80

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Solution

The fourth proportional to 41,838.80, 62,758.20 and 15,540.80 is: 23,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,838.80 : 62,758.20 = 15,540.80 : x
  2. Step 2: Convert to fraction form
    41,838.80/62,758.20 = 15,540.80/x
  3. Step 3: Cross multiply
    41,838.80x = 62,758.20 × 15,540.80
  4. Step 4: Simplify right side
    41,838.80x = 975,312,634.56
  5. Step 5: Solve for x
    x = 975,312,634.56/41,838.80
  6. Step 6: Final answer
    x = 23,311.20

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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.