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Finding the Fourth Proportional to 34,947.68, 52,377.80 and 27,522.81

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Solution

The fourth proportional to 34,947.68, 52,377.80 and 27,522.81 is: 41,249.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,947.68 : 52,377.80 = 27,522.81 : x
  2. Step 2: Convert to fraction form
    34,947.68/52,377.80 = 27,522.81/x
  3. Step 3: Cross multiply
    34,947.68x = 52,377.80 × 27,522.81
  4. Step 4: Simplify right side
    34,947.68x = 1,441,584,100.00
  5. Step 5: Solve for x
    x = 1,441,584,100.00/34,947.68
  6. Step 6: Final answer
    x = 41,249.79

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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.