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Finding the Fourth Proportional to 84,775.80, 126,969.30 and 82,831.80

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Solution

The fourth proportional to 84,775.80, 126,969.30 and 82,831.80 is: 124,057.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,775.80 : 126,969.30 = 82,831.80 : x
  2. Step 2: Convert to fraction form
    84,775.80/126,969.30 = 82,831.80/x
  3. Step 3: Cross multiply
    84,775.80x = 126,969.30 × 82,831.80
  4. Step 4: Simplify right side
    84,775.80x = 10,517,095,663.74
  5. Step 5: Solve for x
    x = 10,517,095,663.74/84,775.80
  6. Step 6: Final answer
    x = 124,057.76

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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.