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Finding the Fourth Proportional to 83,716.62, 115,534.62 and 45,991.26

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Solution

The fourth proportional to 83,716.62, 115,534.62 and 45,991.26 is: 63,471.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,716.62 : 115,534.62 = 45,991.26 : x
  2. Step 2: Convert to fraction form
    83,716.62/115,534.62 = 45,991.26/x
  3. Step 3: Cross multiply
    83,716.62x = 115,534.62 × 45,991.26
  4. Step 4: Simplify right side
    83,716.62x = 5,313,582,747.42
  5. Step 5: Solve for x
    x = 5,313,582,747.42/83,716.62
  6. Step 6: Final answer
    x = 63,471.06

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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.