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Finding the Fourth Proportional to 89,843.23, 134,854.04 and 47,723.69

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Solution

The fourth proportional to 89,843.23, 134,854.04 and 47,723.69 is: 71,632.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,843.23 : 134,854.04 = 47,723.69 : x
  2. Step 2: Convert to fraction form
    89,843.23/134,854.04 = 47,723.69/x
  3. Step 3: Cross multiply
    89,843.23x = 134,854.04 × 47,723.69
  4. Step 4: Simplify right side
    89,843.23x = 6,435,732,161.59
  5. Step 5: Solve for x
    x = 6,435,732,161.59/89,843.23
  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.