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Finding the Fourth Proportional to 41,846, 57,746.92 and 22,982.80

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Solution

The fourth proportional to 41,846, 57,746.92 and 22,982.80 is: 31,715.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,846 : 57,746.92 = 22,982.80 : x
  2. Step 2: Convert to fraction form
    41,846/57,746.92 = 22,982.80/x
  3. Step 3: Cross multiply
    41,846x = 57,746.92 × 22,982.80
  4. Step 4: Simplify right side
    41,846x = 1,327,185,912.98
  5. Step 5: Solve for x
    x = 1,327,185,912.98/41,846
  6. Step 6: Final answer
    x = 31,715.96

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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.