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Finding the Fourth Proportional to 83,162.59, 124,596.11 and 47,622.49

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Solution

The fourth proportional to 83,162.59, 124,596.11 and 47,622.49 is: 71,349.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,162.59 : 124,596.11 = 47,622.49 : x
  2. Step 2: Convert to fraction form
    83,162.59/124,596.11 = 47,622.49/x
  3. Step 3: Cross multiply
    83,162.59x = 124,596.11 × 47,622.49
  4. Step 4: Simplify right side
    83,162.59x = 5,933,576,764.40
  5. Step 5: Solve for x
    x = 5,933,576,764.40/83,162.59
  6. Step 6: Final answer
    x = 71,349.11

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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.