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Finding the Fourth Proportional to 67,082.88, 100,636.92 and 32,025

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Solution

The fourth proportional to 67,082.88, 100,636.92 and 32,025 is: 48,043.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,082.88 : 100,636.92 = 32,025 : x
  2. Step 2: Convert to fraction form
    67,082.88/100,636.92 = 32,025/x
  3. Step 3: Cross multiply
    67,082.88x = 100,636.92 × 32,025
  4. Step 4: Simplify right side
    67,082.88x = 3,222,897,363
  5. Step 5: Solve for x
    x = 3,222,897,363/67,082.88
  6. Step 6: Final answer
    x = 48,043.52

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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.