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Finding the Fourth Proportional to 63,964.31, 95,947.05 and 24,512

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Solution

The fourth proportional to 63,964.31, 95,947.05 and 24,512 is: 36,768.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,964.31 : 95,947.05 = 24,512 : x
  2. Step 2: Convert to fraction form
    63,964.31/95,947.05 = 24,512/x
  3. Step 3: Cross multiply
    63,964.31x = 95,947.05 × 24,512
  4. Step 4: Simplify right side
    63,964.31x = 2,351,854,089.60
  5. Step 5: Solve for x
    x = 2,351,854,089.60/63,964.31
  6. Step 6: Final answer
    x = 36,768.22

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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.