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Finding the Fourth Proportional to 41,805, 57,694.48 and 22,945.76

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Solution

The fourth proportional to 41,805, 57,694.48 and 22,945.76 is: 31,667.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,805 : 57,694.48 = 22,945.76 : x
  2. Step 2: Convert to fraction form
    41,805/57,694.48 = 22,945.76/x
  3. Step 3: Cross multiply
    41,805x = 57,694.48 × 22,945.76
  4. Step 4: Simplify right side
    41,805x = 1,323,843,691.40
  5. Step 5: Solve for x
    x = 1,323,843,691.40/41,805
  6. Step 6: Final answer
    x = 31,667.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.