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Finding the Fourth Proportional to 80,454.24, 120,524.40 and 52,668

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Solution

The fourth proportional to 80,454.24, 120,524.40 and 52,668 is: 78,899.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,454.24 : 120,524.40 = 52,668 : x
  2. Step 2: Convert to fraction form
    80,454.24/120,524.40 = 52,668/x
  3. Step 3: Cross multiply
    80,454.24x = 120,524.40 × 52,668
  4. Step 4: Simplify right side
    80,454.24x = 6,347,779,099.20
  5. Step 5: Solve for x
    x = 6,347,779,099.20/80,454.24
  6. Step 6: Final answer
    x = 78,899.25

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