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Finding the Fourth Proportional to 82,283.85, 113,552.28 and 52,082.19

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Solution

The fourth proportional to 82,283.85, 113,552.28 and 52,082.19 is: 71,873.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,283.85 : 113,552.28 = 52,082.19 : x
  2. Step 2: Convert to fraction form
    82,283.85/113,552.28 = 52,082.19/x
  3. Step 3: Cross multiply
    82,283.85x = 113,552.28 × 52,082.19
  4. Step 4: Simplify right side
    82,283.85x = 5,914,051,421.89
  5. Step 5: Solve for x
    x = 5,914,051,421.89/82,283.85
  6. Step 6: Final answer
    x = 71,873.78

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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.