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Finding the Fourth Proportional to 84,107.84, 126,183.00 and 27,948.24

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Solution

The fourth proportional to 84,107.84, 126,183.00 and 27,948.24 is: 41,929.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,107.84 : 126,183.00 = 27,948.24 : x
  2. Step 2: Convert to fraction form
    84,107.84/126,183.00 = 27,948.24/x
  3. Step 3: Cross multiply
    84,107.84x = 126,183.00 × 27,948.24
  4. Step 4: Simplify right side
    84,107.84x = 3,526,592,715.52
  5. Step 5: Solve for x
    x = 3,526,592,715.52/84,107.84
  6. Step 6: Final answer
    x = 41,929.42

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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.