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Finding the Fourth Proportional to 83,867.64, 125,774.84 and 27,697.28

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Solution

The fourth proportional to 83,867.64, 125,774.84 and 27,697.28 is: 41,537.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,867.64 : 125,774.84 = 27,697.28 : x
  2. Step 2: Convert to fraction form
    83,867.64/125,774.84 = 27,697.28/x
  3. Step 3: Cross multiply
    83,867.64x = 125,774.84 × 27,697.28
  4. Step 4: Simplify right side
    83,867.64x = 3,483,620,960.44
  5. Step 5: Solve for x
    x = 3,483,620,960.44/83,867.64
  6. Step 6: Final answer
    x = 41,537.13

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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.