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Finding the Fourth Proportional to 89,781.95, 123,899.45 and 49,494.81

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Solution

The fourth proportional to 89,781.95, 123,899.45 and 49,494.81 is: 68,303.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,781.95 : 123,899.45 = 49,494.81 : x
  2. Step 2: Convert to fraction form
    89,781.95/123,899.45 = 49,494.81/x
  3. Step 3: Cross multiply
    89,781.95x = 123,899.45 × 49,494.81
  4. Step 4: Simplify right side
    89,781.95x = 6,132,379,489.38
  5. Step 5: Solve for x
    x = 6,132,379,489.38/89,781.95
  6. Step 6: Final answer
    x = 68,303.04

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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.