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Finding the Fourth Proportional to 83,768.74, 125,662.29 and 36,351.24

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Solution

The fourth proportional to 83,768.74, 125,662.29 and 36,351.24 is: 54,530.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,768.74 : 125,662.29 = 36,351.24 : x
  2. Step 2: Convert to fraction form
    83,768.74/125,662.29 = 36,351.24/x
  3. Step 3: Cross multiply
    83,768.74x = 125,662.29 × 36,351.24
  4. Step 4: Simplify right side
    83,768.74x = 4,567,980,062.74
  5. Step 5: Solve for x
    x = 4,567,980,062.74/83,768.74
  6. Step 6: Final answer
    x = 54,530.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.