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Finding the Fourth Proportional to 83,035.96, 114,589.38 and 45,310.16

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Solution

The fourth proportional to 83,035.96, 114,589.38 and 45,310.16 is: 62,527.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,035.96 : 114,589.38 = 45,310.16 : x
  2. Step 2: Convert to fraction form
    83,035.96/114,589.38 = 45,310.16/x
  3. Step 3: Cross multiply
    83,035.96x = 114,589.38 × 45,310.16
  4. Step 4: Simplify right side
    83,035.96x = 5,192,063,142.10
  5. Step 5: Solve for x
    x = 5,192,063,142.10/83,035.96
  6. Step 6: Final answer
    x = 62,527.89

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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.