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Finding the Fourth Proportional to 106,467, 159,700.49 and 27,581.23

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Solution

The fourth proportional to 106,467, 159,700.49 and 27,581.23 is: 41,371.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,467 : 159,700.49 = 27,581.23 : x
  2. Step 2: Convert to fraction form
    106,467/159,700.49 = 27,581.23/x
  3. Step 3: Cross multiply
    106,467x = 159,700.49 × 27,581.23
  4. Step 4: Simplify right side
    106,467x = 4,404,735,945.80
  5. Step 5: Solve for x
    x = 4,404,735,945.80/106,467
  6. Step 6: Final answer
    x = 41,371.84

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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.