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Finding the Fourth Proportional to 32,722.20, 49,083.78 and 8,098.20

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Solution

The fourth proportional to 32,722.20, 49,083.78 and 8,098.20 is: 12,147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,722.20 : 49,083.78 = 8,098.20 : x
  2. Step 2: Convert to fraction form
    32,722.20/49,083.78 = 8,098.20/x
  3. Step 3: Cross multiply
    32,722.20x = 49,083.78 × 8,098.20
  4. Step 4: Simplify right side
    32,722.20x = 397,490,267.20
  5. Step 5: Solve for x
    x = 397,490,267.20/32,722.20
  6. Step 6: Final answer
    x = 12,147.42

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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.