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Finding the Fourth Proportional to 63,833.74, 95,757.14 and 24,424

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Solution

The fourth proportional to 63,833.74, 95,757.14 and 24,424 is: 36,638.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,833.74 : 95,757.14 = 24,424 : x
  2. Step 2: Convert to fraction form
    63,833.74/95,757.14 = 24,424/x
  3. Step 3: Cross multiply
    63,833.74x = 95,757.14 × 24,424
  4. Step 4: Simplify right side
    63,833.74x = 2,338,772,387.36
  5. Step 5: Solve for x
    x = 2,338,772,387.36/63,833.74
  6. Step 6: Final answer
    x = 36,638.50

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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.