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Finding the Fourth Proportional to 69,304.38, 103,870.44 and 31,824.69

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Solution

The fourth proportional to 69,304.38, 103,870.44 and 31,824.69 is: 47,697.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,304.38 : 103,870.44 = 31,824.69 : x
  2. Step 2: Convert to fraction form
    69,304.38/103,870.44 = 31,824.69/x
  3. Step 3: Cross multiply
    69,304.38x = 103,870.44 × 31,824.69
  4. Step 4: Simplify right side
    69,304.38x = 3,305,644,553.16
  5. Step 5: Solve for x
    x = 3,305,644,553.16/69,304.38
  6. Step 6: Final answer
    x = 47,697.48

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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.