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Finding the Fourth Proportional to 83,104.22, 114,684 and 45,378.38

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Solution

The fourth proportional to 83,104.22, 114,684 and 45,378.38 is: 62,622.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,104.22 : 114,684 = 45,378.38 : x
  2. Step 2: Convert to fraction form
    83,104.22/114,684 = 45,378.38/x
  3. Step 3: Cross multiply
    83,104.22x = 114,684 × 45,378.38
  4. Step 4: Simplify right side
    83,104.22x = 5,204,174,131.92
  5. Step 5: Solve for x
    x = 5,204,174,131.92/83,104.22
  6. Step 6: Final answer
    x = 62,622.26

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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.