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Finding the Fourth Proportional to 71,704.13, 98,947.85 and 41,489.94

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Solution

The fourth proportional to 71,704.13, 98,947.85 and 41,489.94 is: 57,253.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,704.13 : 98,947.85 = 41,489.94 : x
  2. Step 2: Convert to fraction form
    71,704.13/98,947.85 = 41,489.94/x
  3. Step 3: Cross multiply
    71,704.13x = 98,947.85 × 41,489.94
  4. Step 4: Simplify right side
    71,704.13x = 4,105,340,152.18
  5. Step 5: Solve for x
    x = 4,105,340,152.18/71,704.13
  6. Step 6: Final answer
    x = 57,253.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.