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Finding the Fourth Proportional to 89,151.36, 123,027.20 and 48,864

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Solution

The fourth proportional to 89,151.36, 123,027.20 and 48,864 is: 67,431.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,151.36 : 123,027.20 = 48,864 : x
  2. Step 2: Convert to fraction form
    89,151.36/123,027.20 = 48,864/x
  3. Step 3: Cross multiply
    89,151.36x = 123,027.20 × 48,864
  4. Step 4: Simplify right side
    89,151.36x = 6,011,601,100.80
  5. Step 5: Solve for x
    x = 6,011,601,100.80/89,151.36
  6. Step 6: Final answer
    x = 67,431.40

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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.