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Finding the Fourth Proportional to 32,288.49, 48,441.24 and 20,294.55

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Solution

The fourth proportional to 32,288.49, 48,441.24 and 20,294.55 is: 30,447.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,288.49 : 48,441.24 = 20,294.55 : x
  2. Step 2: Convert to fraction form
    32,288.49/48,441.24 = 20,294.55/x
  3. Step 3: Cross multiply
    32,288.49x = 48,441.24 × 20,294.55
  4. Step 4: Simplify right side
    32,288.49x = 983,093,167.24
  5. Step 5: Solve for x
    x = 983,093,167.24/32,288.49
  6. Step 6: Final answer
    x = 30,447.17

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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.