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Finding the Fourth Proportional to 32,182.86, 44,414.96 and 17,847.18

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Solution

The fourth proportional to 32,182.86, 44,414.96 and 17,847.18 is: 24,630.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,182.86 : 44,414.96 = 17,847.18 : x
  2. Step 2: Convert to fraction form
    32,182.86/44,414.96 = 17,847.18/x
  3. Step 3: Cross multiply
    32,182.86x = 44,414.96 × 17,847.18
  4. Step 4: Simplify right side
    32,182.86x = 792,681,830.43
  5. Step 5: Solve for x
    x = 792,681,830.43/32,182.86
  6. Step 6: Final answer
    x = 24,630.56

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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.