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Finding the Fourth Proportional to 80,024.10, 110,432.61 and 44,214

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Solution

The fourth proportional to 80,024.10, 110,432.61 and 44,214 is: 61,014.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,024.10 : 110,432.61 = 44,214 : x
  2. Step 2: Convert to fraction form
    80,024.10/110,432.61 = 44,214/x
  3. Step 3: Cross multiply
    80,024.10x = 110,432.61 × 44,214
  4. Step 4: Simplify right side
    80,024.10x = 4,882,667,418.54
  5. Step 5: Solve for x
    x = 4,882,667,418.54/80,024.10
  6. Step 6: Final answer
    x = 61,014.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.