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Finding the Fourth Proportional to 126,476.80, 189,715.20 and 32,982.55

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Solution

The fourth proportional to 126,476.80, 189,715.20 and 32,982.55 is: 49,473.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,476.80 : 189,715.20 = 32,982.55 : x
  2. Step 2: Convert to fraction form
    126,476.80/189,715.20 = 32,982.55/x
  3. Step 3: Cross multiply
    126,476.80x = 189,715.20 × 32,982.55
  4. Step 4: Simplify right side
    126,476.80x = 6,257,291,069.76
  5. Step 5: Solve for x
    x = 6,257,291,069.76/126,476.80
  6. Step 6: Final answer
    x = 49,473.83

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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.