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Finding the Fourth Proportional to 41,137.62, 61,706.78 and 9,972.88

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Solution

The fourth proportional to 41,137.62, 61,706.78 and 9,972.88 is: 14,959.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,137.62 : 61,706.78 = 9,972.88 : x
  2. Step 2: Convert to fraction form
    41,137.62/61,706.78 = 9,972.88/x
  3. Step 3: Cross multiply
    41,137.62x = 61,706.78 × 9,972.88
  4. Step 4: Simplify right side
    41,137.62x = 615,394,312.13
  5. Step 5: Solve for x
    x = 615,394,312.13/41,137.62
  6. Step 6: Final answer
    x = 14,959.40

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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.