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Finding the Fourth Proportional to 32,182.43, 44,414.36 and 17,846.74

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Solution

The fourth proportional to 32,182.43, 44,414.36 and 17,846.74 is: 24,629.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,182.43 : 44,414.36 = 17,846.74 : x
  2. Step 2: Convert to fraction form
    32,182.43/44,414.36 = 17,846.74/x
  3. Step 3: Cross multiply
    32,182.43x = 44,414.36 × 17,846.74
  4. Step 4: Simplify right side
    32,182.43x = 792,651,568.40
  5. Step 5: Solve for x
    x = 792,651,568.40/32,182.43
  6. Step 6: Final answer
    x = 24,629.95

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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.