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Finding the Fourth Proportional to 84,357.92, 126,473.84 and 51,069.96

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Solution

The fourth proportional to 84,357.92, 126,473.84 and 51,069.96 is: 76,566.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,357.92 : 126,473.84 = 51,069.96 : x
  2. Step 2: Convert to fraction form
    84,357.92/126,473.84 = 51,069.96/x
  3. Step 3: Cross multiply
    84,357.92x = 126,473.84 × 51,069.96
  4. Step 4: Simplify right side
    84,357.92x = 6,459,013,694.50
  5. Step 5: Solve for x
    x = 6,459,013,694.50/84,357.92
  6. Step 6: Final answer
    x = 76,566.78

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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.