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Finding the Fourth Proportional to 34,568.17, 47,708.70 and 20,232.38

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Solution

The fourth proportional to 34,568.17, 47,708.70 and 20,232.38 is: 27,923.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,568.17 : 47,708.70 = 20,232.38 : x
  2. Step 2: Convert to fraction form
    34,568.17/47,708.70 = 20,232.38/x
  3. Step 3: Cross multiply
    34,568.17x = 47,708.70 × 20,232.38
  4. Step 4: Simplify right side
    34,568.17x = 965,260,591.11
  5. Step 5: Solve for x
    x = 965,260,591.11/34,568.17
  6. Step 6: Final answer
    x = 27,923.39

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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.