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Finding the Fourth Proportional to 126,524.56, 189,760.28 and 47,636.88

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Solution

The fourth proportional to 126,524.56, 189,760.28 and 47,636.88 is: 71,445.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,524.56 : 189,760.28 = 47,636.88 : x
  2. Step 2: Convert to fraction form
    126,524.56/189,760.28 = 47,636.88/x
  3. Step 3: Cross multiply
    126,524.56x = 189,760.28 × 47,636.88
  4. Step 4: Simplify right side
    126,524.56x = 9,039,587,687.13
  5. Step 5: Solve for x
    x = 9,039,587,687.13/126,524.56
  6. Step 6: Final answer
    x = 71,445.32

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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.