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Finding the Fourth Proportional to 32,099.19, 48,122.68 and 13,393.16

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Solution

The fourth proportional to 32,099.19, 48,122.68 and 13,393.16 is: 20,078.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,099.19 : 48,122.68 = 13,393.16 : x
  2. Step 2: Convert to fraction form
    32,099.19/48,122.68 = 13,393.16/x
  3. Step 3: Cross multiply
    32,099.19x = 48,122.68 × 13,393.16
  4. Step 4: Simplify right side
    32,099.19x = 644,514,586.67
  5. Step 5: Solve for x
    x = 644,514,586.67/32,099.19
  6. Step 6: Final answer
    x = 20,078.85

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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.