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Finding the Fourth Proportional to 83,311.80, 114,969.81 and 45,071.25

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Solution

The fourth proportional to 83,311.80, 114,969.81 and 45,071.25 is: 62,198.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,311.80 : 114,969.81 = 45,071.25 : x
  2. Step 2: Convert to fraction form
    83,311.80/114,969.81 = 45,071.25/x
  3. Step 3: Cross multiply
    83,311.80x = 114,969.81 × 45,071.25
  4. Step 4: Simplify right side
    83,311.80x = 5,181,832,786.84
  5. Step 5: Solve for x
    x = 5,181,832,786.84/83,311.80
  6. Step 6: Final answer
    x = 62,198.06

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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.