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Finding the Fourth Proportional to 41,226.68, 56,872.48 and 27,780.68

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Solution

The fourth proportional to 41,226.68, 56,872.48 and 27,780.68 is: 38,323.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,226.68 : 56,872.48 = 27,780.68 : x
  2. Step 2: Convert to fraction form
    41,226.68/56,872.48 = 27,780.68/x
  3. Step 3: Cross multiply
    41,226.68x = 56,872.48 × 27,780.68
  4. Step 4: Simplify right side
    41,226.68x = 1,579,956,167.69
  5. Step 5: Solve for x
    x = 1,579,956,167.69/41,226.68
  6. Step 6: Final answer
    x = 38,323.63

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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.