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Finding the Fourth Proportional to 97,861.76, 135,049.92 and 53,149.76

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Solution

The fourth proportional to 97,861.76, 135,049.92 and 53,149.76 is: 73,347.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,861.76 : 135,049.92 = 53,149.76 : x
  2. Step 2: Convert to fraction form
    97,861.76/135,049.92 = 53,149.76/x
  3. Step 3: Cross multiply
    97,861.76x = 135,049.92 × 53,149.76
  4. Step 4: Simplify right side
    97,861.76x = 7,177,870,836.02
  5. Step 5: Solve for x
    x = 7,177,870,836.02/97,861.76
  6. Step 6: Final answer
    x = 73,347.04

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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.