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Finding the Fourth Proportional to 83,247.68, 114,884.16 and 45,522.56

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Solution

The fourth proportional to 83,247.68, 114,884.16 and 45,522.56 is: 62,822.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,247.68 : 114,884.16 = 45,522.56 : x
  2. Step 2: Convert to fraction form
    83,247.68/114,884.16 = 45,522.56/x
  3. Step 3: Cross multiply
    83,247.68x = 114,884.16 × 45,522.56
  4. Step 4: Simplify right side
    83,247.68x = 5,229,821,066.65
  5. Step 5: Solve for x
    x = 5,229,821,066.65/83,247.68
  6. Step 6: Final answer
    x = 62,822.42

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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.