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Finding the Fourth Proportional to 32,033.28, 44,205.63 and 17,693.97

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Solution

The fourth proportional to 32,033.28, 44,205.63 and 17,693.97 is: 24,417.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,033.28 : 44,205.63 = 17,693.97 : x
  2. Step 2: Convert to fraction form
    32,033.28/44,205.63 = 17,693.97/x
  3. Step 3: Cross multiply
    32,033.28x = 44,205.63 × 17,693.97
  4. Step 4: Simplify right side
    32,033.28x = 782,173,091.05
  5. Step 5: Solve for x
    x = 782,173,091.05/32,033.28
  6. Step 6: Final answer
    x = 24,417.51

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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.