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Finding the Fourth Proportional to 32,199, 48,293.31 and 8,819.97

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Solution

The fourth proportional to 32,199, 48,293.31 and 8,819.97 is: 13,228.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,199 : 48,293.31 = 8,819.97 : x
  2. Step 2: Convert to fraction form
    32,199/48,293.31 = 8,819.97/x
  3. Step 3: Cross multiply
    32,199x = 48,293.31 × 8,819.97
  4. Step 4: Simplify right side
    32,199x = 425,945,545.40
  5. Step 5: Solve for x
    x = 425,945,545.40/32,199
  6. Step 6: Final answer
    x = 13,228.53

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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.