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Finding the Fourth Proportional to 83,076.38, 114,647.37 and 45,350.90

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Solution

The fourth proportional to 83,076.38, 114,647.37 and 45,350.90 is: 62,585.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,076.38 : 114,647.37 = 45,350.90 : x
  2. Step 2: Convert to fraction form
    83,076.38/114,647.37 = 45,350.90/x
  3. Step 3: Cross multiply
    83,076.38x = 114,647.37 × 45,350.90
  4. Step 4: Simplify right side
    83,076.38x = 5,199,361,412.13
  5. Step 5: Solve for x
    x = 5,199,361,412.13/83,076.38
  6. Step 6: Final answer
    x = 62,585.32

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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.