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Finding the Fourth Proportional to 71,182.88, 106,733.88 and 29,013.57

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Solution

The fourth proportional to 71,182.88, 106,733.88 and 29,013.57 is: 43,503.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,182.88 : 106,733.88 = 29,013.57 : x
  2. Step 2: Convert to fraction form
    71,182.88/106,733.88 = 29,013.57/x
  3. Step 3: Cross multiply
    71,182.88x = 106,733.88 × 29,013.57
  4. Step 4: Simplify right side
    71,182.88x = 3,096,730,516.96
  5. Step 5: Solve for x
    x = 3,096,730,516.96/71,182.88
  6. Step 6: Final answer
    x = 43,503.87

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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.