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Finding the Fourth Proportional to 84,201.80, 116,221.38 and 48,395.48

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Solution

The fourth proportional to 84,201.80, 116,221.38 and 48,395.48 is: 66,798.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,201.80 : 116,221.38 = 48,395.48 : x
  2. Step 2: Convert to fraction form
    84,201.80/116,221.38 = 48,395.48/x
  3. Step 3: Cross multiply
    84,201.80x = 116,221.38 × 48,395.48
  4. Step 4: Simplify right side
    84,201.80x = 5,624,589,471.36
  5. Step 5: Solve for x
    x = 5,624,589,471.36/84,201.80
  6. Step 6: Final answer
    x = 66,798.92

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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.