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Finding the Fourth Proportional to 89,494.65, 123,505.79 and 49,211.48

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Solution

The fourth proportional to 89,494.65, 123,505.79 and 49,211.48 is: 67,913.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,494.65 : 123,505.79 = 49,211.48 : x
  2. Step 2: Convert to fraction form
    89,494.65/123,505.79 = 49,211.48/x
  3. Step 3: Cross multiply
    89,494.65x = 123,505.79 × 49,211.48
  4. Step 4: Simplify right side
    89,494.65x = 6,077,902,714.47
  5. Step 5: Solve for x
    x = 6,077,902,714.47/89,494.65
  6. Step 6: Final answer
    x = 67,913.59

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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.