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Finding the Fourth Proportional to 78,082.56, 107,757 and 44,098.20

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Solution

The fourth proportional to 78,082.56, 107,757 and 44,098.20 is: 60,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,082.56 : 107,757 = 44,098.20 : x
  2. Step 2: Convert to fraction form
    78,082.56/107,757 = 44,098.20/x
  3. Step 3: Cross multiply
    78,082.56x = 107,757 × 44,098.20
  4. Step 4: Simplify right side
    78,082.56x = 4,751,889,737.40
  5. Step 5: Solve for x
    x = 4,751,889,737.40/78,082.56
  6. Step 6: Final answer
    x = 60,857.25

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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.