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Finding the Fourth Proportional to 71,076.32, 106,662 and 29,523.32

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Solution

The fourth proportional to 71,076.32, 106,662 and 29,523.32 is: 44,304.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,076.32 : 106,662 = 29,523.32 : x
  2. Step 2: Convert to fraction form
    71,076.32/106,662 = 29,523.32/x
  3. Step 3: Cross multiply
    71,076.32x = 106,662 × 29,523.32
  4. Step 4: Simplify right side
    71,076.32x = 3,149,016,357.84
  5. Step 5: Solve for x
    x = 3,149,016,357.84/71,076.32
  6. Step 6: Final answer
    x = 44,304.72

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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.