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Finding the Fourth Proportional to 67,414.40, 101,204.80 and 42,454.40

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Solution

The fourth proportional to 67,414.40, 101,204.80 and 42,454.40 is: 63,734.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,414.40 : 101,204.80 = 42,454.40 : x
  2. Step 2: Convert to fraction form
    67,414.40/101,204.80 = 42,454.40/x
  3. Step 3: Cross multiply
    67,414.40x = 101,204.80 × 42,454.40
  4. Step 4: Simplify right side
    67,414.40x = 4,296,589,061.12
  5. Step 5: Solve for x
    x = 4,296,589,061.12/67,414.40
  6. Step 6: Final answer
    x = 63,734.00

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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.