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Finding the Fourth Proportional to 89,652, 123,728.40 and 49,908

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Solution

The fourth proportional to 89,652, 123,728.40 and 49,908 is: 68,877.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,652 : 123,728.40 = 49,908 : x
  2. Step 2: Convert to fraction form
    89,652/123,728.40 = 49,908/x
  3. Step 3: Cross multiply
    89,652x = 123,728.40 × 49,908
  4. Step 4: Simplify right side
    89,652x = 6,175,036,987.20
  5. Step 5: Solve for x
    x = 6,175,036,987.20/89,652
  6. Step 6: Final answer
    x = 68,877.85

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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.