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Finding the Fourth Proportional to 82,906.68, 124,377.79 and 26,750

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Solution

The fourth proportional to 82,906.68, 124,377.79 and 26,750 is: 40,130.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,906.68 : 124,377.79 = 26,750 : x
  2. Step 2: Convert to fraction form
    82,906.68/124,377.79 = 26,750/x
  3. Step 3: Cross multiply
    82,906.68x = 124,377.79 × 26,750
  4. Step 4: Simplify right side
    82,906.68x = 3,327,105,882.50
  5. Step 5: Solve for x
    x = 3,327,105,882.50/82,906.68
  6. Step 6: Final answer
    x = 40,130.73

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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.