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Finding the Fourth Proportional to 89,357.38, 123,314.47 and 49,074.75

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Solution

The fourth proportional to 89,357.38, 123,314.47 and 49,074.75 is: 67,723.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,357.38 : 123,314.47 = 49,074.75 : x
  2. Step 2: Convert to fraction form
    89,357.38/123,314.47 = 49,074.75/x
  3. Step 3: Cross multiply
    89,357.38x = 123,314.47 × 49,074.75
  4. Step 4: Simplify right side
    89,357.38x = 6,051,626,663.95
  5. Step 5: Solve for x
    x = 6,051,626,663.95/89,357.38
  6. Step 6: Final answer
    x = 67,723.86

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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.