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Finding the Fourth Proportional to 83,829.81, 125,750.85 and 27,667.65

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Solution

The fourth proportional to 83,829.81, 125,750.85 and 27,667.65 is: 41,503.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,829.81 : 125,750.85 = 27,667.65 : x
  2. Step 2: Convert to fraction form
    83,829.81/125,750.85 = 27,667.65/x
  3. Step 3: Cross multiply
    83,829.81x = 125,750.85 × 27,667.65
  4. Step 4: Simplify right side
    83,829.81x = 3,479,230,872.81
  5. Step 5: Solve for x
    x = 3,479,230,872.81/83,829.81
  6. Step 6: Final answer
    x = 41,503.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.