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Finding the Fourth Proportional to 85,229.28, 117,524.10 and 58,023

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Solution

The fourth proportional to 85,229.28, 117,524.10 and 58,023 is: 80,008.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,229.28 : 117,524.10 = 58,023 : x
  2. Step 2: Convert to fraction form
    85,229.28/117,524.10 = 58,023/x
  3. Step 3: Cross multiply
    85,229.28x = 117,524.10 × 58,023
  4. Step 4: Simplify right side
    85,229.28x = 6,819,100,854.30
  5. Step 5: Solve for x
    x = 6,819,100,854.30/85,229.28
  6. Step 6: Final answer
    x = 80,008.90

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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.