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Finding the Fourth Proportional to 88,083.92, 132,162.90 and 54,831.80

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Solution

The fourth proportional to 88,083.92, 132,162.90 and 54,831.80 is: 82,270.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,083.92 : 132,162.90 = 54,831.80 : x
  2. Step 2: Convert to fraction form
    88,083.92/132,162.90 = 54,831.80/x
  3. Step 3: Cross multiply
    88,083.92x = 132,162.90 × 54,831.80
  4. Step 4: Simplify right side
    88,083.92x = 7,246,729,700.22
  5. Step 5: Solve for x
    x = 7,246,729,700.22/88,083.92
  6. Step 6: Final answer
    x = 82,270.74

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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.