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Finding the Fourth Proportional to 67,874.62, 101,708 and 28,410.24

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Solution

The fourth proportional to 67,874.62, 101,708 and 28,410.24 is: 42,571.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,874.62 : 101,708 = 28,410.24 : x
  2. Step 2: Convert to fraction form
    67,874.62/101,708 = 28,410.24/x
  3. Step 3: Cross multiply
    67,874.62x = 101,708 × 28,410.24
  4. Step 4: Simplify right side
    67,874.62x = 2,889,548,689.92
  5. Step 5: Solve for x
    x = 2,889,548,689.92/67,874.62
  6. Step 6: Final answer
    x = 42,571.86

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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.