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Finding the Fourth Proportional to 83,894.20, 125,549.70 and 57,650.20

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Solution

The fourth proportional to 83,894.20, 125,549.70 and 57,650.20 is: 86,274.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,894.20 : 125,549.70 = 57,650.20 : x
  2. Step 2: Convert to fraction form
    83,894.20/125,549.70 = 57,650.20/x
  3. Step 3: Cross multiply
    83,894.20x = 125,549.70 × 57,650.20
  4. Step 4: Simplify right side
    83,894.20x = 7,237,965,314.94
  5. Step 5: Solve for x
    x = 7,237,965,314.94/83,894.20
  6. Step 6: Final answer
    x = 86,274.92

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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.