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Finding the Fourth Proportional to 126,053.70, 189,080.55 and 32,559.45

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Solution

The fourth proportional to 126,053.70, 189,080.55 and 32,559.45 is: 48,839.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,053.70 : 189,080.55 = 32,559.45 : x
  2. Step 2: Convert to fraction form
    126,053.70/189,080.55 = 32,559.45/x
  3. Step 3: Cross multiply
    126,053.70x = 189,080.55 × 32,559.45
  4. Step 4: Simplify right side
    126,053.70x = 6,156,358,713.70
  5. Step 5: Solve for x
    x = 6,156,358,713.70/126,053.70
  6. Step 6: Final answer
    x = 48,839.18

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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.