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Finding the Fourth Proportional to 32,478.18, 48,711.77 and 9,099.24

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Solution

The fourth proportional to 32,478.18, 48,711.77 and 9,099.24 is: 13,647.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,478.18 : 48,711.77 = 9,099.24 : x
  2. Step 2: Convert to fraction form
    32,478.18/48,711.77 = 9,099.24/x
  3. Step 3: Cross multiply
    32,478.18x = 48,711.77 × 9,099.24
  4. Step 4: Simplify right side
    32,478.18x = 443,240,086.05
  5. Step 5: Solve for x
    x = 443,240,086.05/32,478.18
  6. Step 6: Final answer
    x = 13,647.32

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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.