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Finding the Fourth Proportional to 32,082.78, 48,131.46 and 12,098.46

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Solution

The fourth proportional to 32,082.78, 48,131.46 and 12,098.46 is: 18,150.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,082.78 : 48,131.46 = 12,098.46 : x
  2. Step 2: Convert to fraction form
    32,082.78/48,131.46 = 12,098.46/x
  3. Step 3: Cross multiply
    32,082.78x = 48,131.46 × 12,098.46
  4. Step 4: Simplify right side
    32,082.78x = 582,316,543.55
  5. Step 5: Solve for x
    x = 582,316,543.55/32,082.78
  6. Step 6: Final answer
    x = 18,150.44

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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.