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Finding the Fourth Proportional to 83,212.96, 124,793.52 and 27,796

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Solution

The fourth proportional to 83,212.96, 124,793.52 and 27,796 is: 41,685.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,212.96 : 124,793.52 = 27,796 : x
  2. Step 2: Convert to fraction form
    83,212.96/124,793.52 = 27,796/x
  3. Step 3: Cross multiply
    83,212.96x = 124,793.52 × 27,796
  4. Step 4: Simplify right side
    83,212.96x = 3,468,760,681.92
  5. Step 5: Solve for x
    x = 3,468,760,681.92/83,212.96
  6. Step 6: Final answer
    x = 41,685.34

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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.