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Finding the Fourth Proportional to 83,443.64, 125,173.14 and 27,284.04

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Solution

The fourth proportional to 83,443.64, 125,173.14 and 27,284.04 is: 40,928.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,443.64 : 125,173.14 = 27,284.04 : x
  2. Step 2: Convert to fraction form
    83,443.64/125,173.14 = 27,284.04/x
  3. Step 3: Cross multiply
    83,443.64x = 125,173.14 × 27,284.04
  4. Step 4: Simplify right side
    83,443.64x = 3,415,228,958.69
  5. Step 5: Solve for x
    x = 3,415,228,958.69/83,443.64
  6. Step 6: Final answer
    x = 40,928.57

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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.