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Finding the Fourth Proportional to 89,675, 123,760.14 and 49,931

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Solution

The fourth proportional to 89,675, 123,760.14 and 49,931 is: 68,909.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,675 : 123,760.14 = 49,931 : x
  2. Step 2: Convert to fraction form
    89,675/123,760.14 = 49,931/x
  3. Step 3: Cross multiply
    89,675x = 123,760.14 × 49,931
  4. Step 4: Simplify right side
    89,675x = 6,179,467,550.34
  5. Step 5: Solve for x
    x = 6,179,467,550.34/89,675
  6. Step 6: Final answer
    x = 68,909.59

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