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Finding the Fourth Proportional to 73,951.76, 102,087.24 and 47,130.96

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Solution

The fourth proportional to 73,951.76, 102,087.24 and 47,130.96 is: 65,062.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,951.76 : 102,087.24 = 47,130.96 : x
  2. Step 2: Convert to fraction form
    73,951.76/102,087.24 = 47,130.96/x
  3. Step 3: Cross multiply
    73,951.76x = 102,087.24 × 47,130.96
  4. Step 4: Simplify right side
    73,951.76x = 4,811,469,624.95
  5. Step 5: Solve for x
    x = 4,811,469,624.95/73,951.76
  6. Step 6: Final answer
    x = 65,062.27

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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.