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Finding the Fourth Proportional to 67,744.16, 101,616.26 and 28,279.76

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Solution

The fourth proportional to 67,744.16, 101,616.26 and 28,279.76 is: 42,419.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,744.16 : 101,616.26 = 28,279.76 : x
  2. Step 2: Convert to fraction form
    67,744.16/101,616.26 = 28,279.76/x
  3. Step 3: Cross multiply
    67,744.16x = 101,616.26 × 28,279.76
  4. Step 4: Simplify right side
    67,744.16x = 2,873,683,444.90
  5. Step 5: Solve for x
    x = 2,873,683,444.90/67,744.16
  6. Step 6: Final answer
    x = 42,419.65

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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.