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Finding the Fourth Proportional to 83,764.90, 115,593.61 and 45,523.54

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Solution

The fourth proportional to 83,764.90, 115,593.61 and 45,523.54 is: 62,821.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,764.90 : 115,593.61 = 45,523.54 : x
  2. Step 2: Convert to fraction form
    83,764.90/115,593.61 = 45,523.54/x
  3. Step 3: Cross multiply
    83,764.90x = 115,593.61 × 45,523.54
  4. Step 4: Simplify right side
    83,764.90x = 5,262,230,328.58
  5. Step 5: Solve for x
    x = 5,262,230,328.58/83,764.90
  6. Step 6: Final answer
    x = 62,821.42

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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.