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Finding the Fourth Proportional to 83,967, 125,823.54 and 50,650.04

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Solution

The fourth proportional to 83,967, 125,823.54 and 50,650.04 is: 75,898.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,967 : 125,823.54 = 50,650.04 : x
  2. Step 2: Convert to fraction form
    83,967/125,823.54 = 50,650.04/x
  3. Step 3: Cross multiply
    83,967x = 125,823.54 × 50,650.04
  4. Step 4: Simplify right side
    83,967x = 6,372,967,333.94
  5. Step 5: Solve for x
    x = 6,372,967,333.94/83,967
  6. Step 6: Final answer
    x = 75,898.48

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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.