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Finding the Fourth Proportional to 73,164.62, 100,965.12 and 42,949.46

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Solution

The fourth proportional to 73,164.62, 100,965.12 and 42,949.46 is: 59,269.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,164.62 : 100,965.12 = 42,949.46 : x
  2. Step 2: Convert to fraction form
    73,164.62/100,965.12 = 42,949.46/x
  3. Step 3: Cross multiply
    73,164.62x = 100,965.12 × 42,949.46
  4. Step 4: Simplify right side
    73,164.62x = 4,336,397,474.19
  5. Step 5: Solve for x
    x = 4,336,397,474.19/73,164.62
  6. Step 6: Final answer
    x = 59,269.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.