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Finding the Fourth Proportional to 33,230.70, 49,854.25 and 9,857.14

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Solution

The fourth proportional to 33,230.70, 49,854.25 and 9,857.14 is: 14,788.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,230.70 : 49,854.25 = 9,857.14 : x
  2. Step 2: Convert to fraction form
    33,230.70/49,854.25 = 9,857.14/x
  3. Step 3: Cross multiply
    33,230.70x = 49,854.25 × 9,857.14
  4. Step 4: Simplify right side
    33,230.70x = 491,420,321.85
  5. Step 5: Solve for x
    x = 491,420,321.85/33,230.70
  6. Step 6: Final answer
    x = 14,788.14

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1.5x scale

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.