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Finding the Fourth Proportional to 32,471.04, 48,708.44 and 9,099.30

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Solution

The fourth proportional to 32,471.04, 48,708.44 and 9,099.30 is: 13,649.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,471.04 : 48,708.44 = 9,099.30 : x
  2. Step 2: Convert to fraction form
    32,471.04/48,708.44 = 9,099.30/x
  3. Step 3: Cross multiply
    32,471.04x = 48,708.44 × 9,099.30
  4. Step 4: Simplify right side
    32,471.04x = 443,212,708.09
  5. Step 5: Solve for x
    x = 443,212,708.09/32,471.04
  6. Step 6: Final answer
    x = 13,649.48

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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.