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Finding the Fourth Proportional to 32,478.11, 48,711.68 and 9,099.17

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Solution

The fourth proportional to 32,478.11, 48,711.68 and 9,099.17 is: 13,647.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,478.11 : 48,711.68 = 9,099.17 : x
  2. Step 2: Convert to fraction form
    32,478.11/48,711.68 = 9,099.17/x
  3. Step 3: Cross multiply
    32,478.11x = 48,711.68 × 9,099.17
  4. Step 4: Simplify right side
    32,478.11x = 443,235,811.81
  5. Step 5: Solve for x
    x = 443,235,811.81/32,478.11
  6. Step 6: Final answer
    x = 13,647.22

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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.