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Finding the Fourth Proportional to 126,582.39, 189,761.84 and 47,751.97

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Solution

The fourth proportional to 126,582.39, 189,761.84 and 47,751.97 is: 71,585.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,582.39 : 189,761.84 = 47,751.97 : x
  2. Step 2: Convert to fraction form
    126,582.39/189,761.84 = 47,751.97/x
  3. Step 3: Cross multiply
    126,582.39x = 189,761.84 × 47,751.97
  4. Step 4: Simplify right side
    126,582.39x = 9,061,501,452.06
  5. Step 5: Solve for x
    x = 9,061,501,452.06/126,582.39
  6. Step 6: Final answer
    x = 71,585.80

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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.