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Finding the Fourth Proportional to 89,843.22, 134,854.03 and 47,723.69

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Solution

The fourth proportional to 89,843.22, 134,854.03 and 47,723.69 is: 71,632.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,843.22 : 134,854.03 = 47,723.69 : x
  2. Step 2: Convert to fraction form
    89,843.22/134,854.03 = 47,723.69/x
  3. Step 3: Cross multiply
    89,843.22x = 134,854.03 × 47,723.69
  4. Step 4: Simplify right side
    89,843.22x = 6,435,731,922.97
  5. Step 5: Solve for x
    x = 6,435,731,922.97/89,843.22
  6. Step 6: Final answer
    x = 71,632.92

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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.