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Finding the Fourth Proportional to 40,160.92, 60,278.78 and 20,454.30

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Solution

The fourth proportional to 40,160.92, 60,278.78 and 20,454.30 is: 30,700.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,160.92 : 60,278.78 = 20,454.30 : x
  2. Step 2: Convert to fraction form
    40,160.92/60,278.78 = 20,454.30/x
  3. Step 3: Cross multiply
    40,160.92x = 60,278.78 × 20,454.30
  4. Step 4: Simplify right side
    40,160.92x = 1,232,960,249.75
  5. Step 5: Solve for x
    x = 1,232,960,249.75/40,160.92
  6. Step 6: Final answer
    x = 30,700.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.