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Finding the Fourth Proportional to 83,162.92, 114,766.38 and 45,436.36

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Solution

The fourth proportional to 83,162.92, 114,766.38 and 45,436.36 is: 62,703.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,162.92 : 114,766.38 = 45,436.36 : x
  2. Step 2: Convert to fraction form
    83,162.92/114,766.38 = 45,436.36/x
  3. Step 3: Cross multiply
    83,162.92x = 114,766.38 × 45,436.36
  4. Step 4: Simplify right side
    83,162.92x = 5,214,566,557.58
  5. Step 5: Solve for x
    x = 5,214,566,557.58/83,162.92
  6. Step 6: Final answer
    x = 62,703.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.