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Finding the Fourth Proportional to 32,286.83, 48,430.17 and 8,594.38

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Solution

The fourth proportional to 32,286.83, 48,430.17 and 8,594.38 is: 12,891.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,286.83 : 48,430.17 = 8,594.38 : x
  2. Step 2: Convert to fraction form
    32,286.83/48,430.17 = 8,594.38/x
  3. Step 3: Cross multiply
    32,286.83x = 48,430.17 × 8,594.38
  4. Step 4: Simplify right side
    32,286.83x = 416,227,284.44
  5. Step 5: Solve for x
    x = 416,227,284.44/32,286.83
  6. Step 6: Final answer
    x = 12,891.55

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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.