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Finding the Fourth Proportional to 75,141.01, 112,715 and 41,835.97

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Solution

The fourth proportional to 75,141.01, 112,715 and 41,835.97 is: 62,755.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,141.01 : 112,715 = 41,835.97 : x
  2. Step 2: Convert to fraction form
    75,141.01/112,715 = 41,835.97/x
  3. Step 3: Cross multiply
    75,141.01x = 112,715 × 41,835.97
  4. Step 4: Simplify right side
    75,141.01x = 4,715,541,358.55
  5. Step 5: Solve for x
    x = 4,715,541,358.55/75,141.01
  6. Step 6: Final answer
    x = 62,755.90

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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.