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Finding the Fourth Proportional to 32,192.57, 48,281.47 and 8,820.83

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Solution

The fourth proportional to 32,192.57, 48,281.47 and 8,820.83 is: 13,229.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,192.57 : 48,281.47 = 8,820.83 : x
  2. Step 2: Convert to fraction form
    32,192.57/48,281.47 = 8,820.83/x
  3. Step 3: Cross multiply
    32,192.57x = 48,281.47 × 8,820.83
  4. Step 4: Simplify right side
    32,192.57x = 425,882,375.56
  5. Step 5: Solve for x
    x = 425,882,375.56/32,192.57
  6. Step 6: Final answer
    x = 13,229.22

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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.