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Finding the Fourth Proportional to 83,162.81, 124,730.57 and 23,195.37

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Solution

The fourth proportional to 83,162.81, 124,730.57 and 23,195.37 is: 34,789.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,162.81 : 124,730.57 = 23,195.37 : x
  2. Step 2: Convert to fraction form
    83,162.81/124,730.57 = 23,195.37/x
  3. Step 3: Cross multiply
    83,162.81x = 124,730.57 × 23,195.37
  4. Step 4: Simplify right side
    83,162.81x = 2,893,171,721.46
  5. Step 5: Solve for x
    x = 2,893,171,721.46/83,162.81
  6. Step 6: Final answer
    x = 34,789.25

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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.