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Finding the Fourth Proportional to 75,456.16, 113,096.75 and 71,082.16

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Solution

The fourth proportional to 75,456.16, 113,096.75 and 71,082.16 is: 106,540.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,456.16 : 113,096.75 = 71,082.16 : x
  2. Step 2: Convert to fraction form
    75,456.16/113,096.75 = 71,082.16/x
  3. Step 3: Cross multiply
    75,456.16x = 113,096.75 × 71,082.16
  4. Step 4: Simplify right side
    75,456.16x = 8,039,161,278.98
  5. Step 5: Solve for x
    x = 8,039,161,278.98/75,456.16
  6. Step 6: Final answer
    x = 106,540.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.