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Finding the Fourth Proportional to 89,781.47, 123,898.83 and 49,494.32

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Solution

The fourth proportional to 89,781.47, 123,898.83 and 49,494.32 is: 68,302.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,781.47 : 123,898.83 = 49,494.32 : x
  2. Step 2: Convert to fraction form
    89,781.47/123,898.83 = 49,494.32/x
  3. Step 3: Cross multiply
    89,781.47x = 123,898.83 × 49,494.32
  4. Step 4: Simplify right side
    89,781.47x = 6,132,288,339.65
  5. Step 5: Solve for x
    x = 6,132,288,339.65/89,781.47
  6. Step 6: Final answer
    x = 68,302.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.