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Finding the Fourth Proportional to 32,002.20, 48,024.90 and 20,881.80

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Solution

The fourth proportional to 32,002.20, 48,024.90 and 20,881.80 is: 31,336.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,002.20 : 48,024.90 = 20,881.80 : x
  2. Step 2: Convert to fraction form
    32,002.20/48,024.90 = 20,881.80/x
  3. Step 3: Cross multiply
    32,002.20x = 48,024.90 × 20,881.80
  4. Step 4: Simplify right side
    32,002.20x = 1,002,846,356.82
  5. Step 5: Solve for x
    x = 1,002,846,356.82/32,002.20
  6. Step 6: Final answer
    x = 31,336.79

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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.