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Finding the Fourth Proportional to 67,119.32, 100,616.08 and 22,715

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Solution

The fourth proportional to 67,119.32, 100,616.08 and 22,715 is: 34,051.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,119.32 : 100,616.08 = 22,715 : x
  2. Step 2: Convert to fraction form
    67,119.32/100,616.08 = 22,715/x
  3. Step 3: Cross multiply
    67,119.32x = 100,616.08 × 22,715
  4. Step 4: Simplify right side
    67,119.32x = 2,285,494,257.20
  5. Step 5: Solve for x
    x = 2,285,494,257.20/67,119.32
  6. Step 6: Final answer
    x = 34,051.21

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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.