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Finding the Fourth Proportional to 32,922.80, 45,433.15 and 17,815.13

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Solution

The fourth proportional to 32,922.80, 45,433.15 and 17,815.13 is: 24,584.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,922.80 : 45,433.15 = 17,815.13 : x
  2. Step 2: Convert to fraction form
    32,922.80/45,433.15 = 17,815.13/x
  3. Step 3: Cross multiply
    32,922.80x = 45,433.15 × 17,815.13
  4. Step 4: Simplify right side
    32,922.80x = 809,397,473.56
  5. Step 5: Solve for x
    x = 809,397,473.56/32,922.80
  6. Step 6: Final answer
    x = 24,584.71

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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.