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Finding the Fourth Proportional to 55,291.35, 82,928.82 and 27,203.85

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Solution

The fourth proportional to 55,291.35, 82,928.82 and 27,203.85 is: 40,801.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,291.35 : 82,928.82 = 27,203.85 : x
  2. Step 2: Convert to fraction form
    55,291.35/82,928.82 = 27,203.85/x
  3. Step 3: Cross multiply
    55,291.35x = 82,928.82 × 27,203.85
  4. Step 4: Simplify right side
    55,291.35x = 2,255,983,179.96
  5. Step 5: Solve for x
    x = 2,255,983,179.96/55,291.35
  6. Step 6: Final answer
    x = 40,801.74

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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.