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Finding the Fourth Proportional to 83,082.96, 114,651.36 and 45,357.36

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Solution

The fourth proportional to 83,082.96, 114,651.36 and 45,357.36 is: 62,591.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,082.96 : 114,651.36 = 45,357.36 : x
  2. Step 2: Convert to fraction form
    83,082.96/114,651.36 = 45,357.36/x
  3. Step 3: Cross multiply
    83,082.96x = 114,651.36 × 45,357.36
  4. Step 4: Simplify right side
    83,082.96x = 5,200,283,010.01
  5. Step 5: Solve for x
    x = 5,200,283,010.01/83,082.96
  6. Step 6: Final answer
    x = 62,591.45

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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.