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Finding the Fourth Proportional to 83,865.64, 125,771.84 and 27,695.28

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Solution

The fourth proportional to 83,865.64, 125,771.84 and 27,695.28 is: 41,534.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,865.64 : 125,771.84 = 27,695.28 : x
  2. Step 2: Convert to fraction form
    83,865.64/125,771.84 = 27,695.28/x
  3. Step 3: Cross multiply
    83,865.64x = 125,771.84 × 27,695.28
  4. Step 4: Simplify right side
    83,865.64x = 3,483,286,324.92
  5. Step 5: Solve for x
    x = 3,483,286,324.92/83,865.64
  6. Step 6: Final answer
    x = 41,534.13

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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.