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Finding the Fourth Proportional to 32,002.92, 48,012.49 and 9,817.43

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Solution

The fourth proportional to 32,002.92, 48,012.49 and 9,817.43 is: 14,728.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,002.92 : 48,012.49 = 9,817.43 : x
  2. Step 2: Convert to fraction form
    32,002.92/48,012.49 = 9,817.43/x
  3. Step 3: Cross multiply
    32,002.92x = 48,012.49 × 9,817.43
  4. Step 4: Simplify right side
    32,002.92x = 471,359,210.61
  5. Step 5: Solve for x
    x = 471,359,210.61/32,002.92
  6. Step 6: Final answer
    x = 14,728.63

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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.