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Finding the Fourth Proportional to 89,082.40, 122,928.96 and 48,794.08

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Solution

The fourth proportional to 89,082.40, 122,928.96 and 48,794.08 is: 67,333.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,082.40 : 122,928.96 = 48,794.08 : x
  2. Step 2: Convert to fraction form
    89,082.40/122,928.96 = 48,794.08/x
  3. Step 3: Cross multiply
    89,082.40x = 122,928.96 × 48,794.08
  4. Step 4: Simplify right side
    89,082.40x = 5,998,205,508.56
  5. Step 5: Solve for x
    x = 5,998,205,508.56/89,082.40
  6. Step 6: Final answer
    x = 67,333.23

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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.