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Finding the Fourth Proportional to 71,944.62, 107,926.79 and 24,547

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Solution

The fourth proportional to 71,944.62, 107,926.79 and 24,547 is: 36,823.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,944.62 : 107,926.79 = 24,547 : x
  2. Step 2: Convert to fraction form
    71,944.62/107,926.79 = 24,547/x
  3. Step 3: Cross multiply
    71,944.62x = 107,926.79 × 24,547
  4. Step 4: Simplify right side
    71,944.62x = 2,649,278,914.13
  5. Step 5: Solve for x
    x = 2,649,278,914.13/71,944.62
  6. Step 6: Final answer
    x = 36,823.86

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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.