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Finding the Fourth Proportional to 47,667, 71,454.02 and 22,700.38

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Solution

The fourth proportional to 47,667, 71,454.02 and 22,700.38 is: 34,028.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,667 : 71,454.02 = 22,700.38 : x
  2. Step 2: Convert to fraction form
    47,667/71,454.02 = 22,700.38/x
  3. Step 3: Cross multiply
    47,667x = 71,454.02 × 22,700.38
  4. Step 4: Simplify right side
    47,667x = 1,622,033,406.53
  5. Step 5: Solve for x
    x = 1,622,033,406.53/47,667
  6. Step 6: Final answer
    x = 34,028.43

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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.