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Finding the Fourth Proportional to 41,137.68, 61,706.51 and 9,972.93

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Solution

The fourth proportional to 41,137.68, 61,706.51 and 9,972.93 is: 14,959.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,137.68 : 61,706.51 = 9,972.93 : x
  2. Step 2: Convert to fraction form
    41,137.68/61,706.51 = 9,972.93/x
  3. Step 3: Cross multiply
    41,137.68x = 61,706.51 × 9,972.93
  4. Step 4: Simplify right side
    41,137.68x = 615,394,396.24
  5. Step 5: Solve for x
    x = 615,394,396.24/41,137.68
  6. Step 6: Final answer
    x = 14,959.39

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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.