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Finding the Fourth Proportional to 41,684.56, 57,524.79 and 22,822.90

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Solution

The fourth proportional to 41,684.56, 57,524.79 and 22,822.90 is: 31,495.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,684.56 : 57,524.79 = 22,822.90 : x
  2. Step 2: Convert to fraction form
    41,684.56/57,524.79 = 22,822.90/x
  3. Step 3: Cross multiply
    41,684.56x = 57,524.79 × 22,822.90
  4. Step 4: Simplify right side
    41,684.56x = 1,312,882,529.69
  5. Step 5: Solve for x
    x = 1,312,882,529.69/41,684.56
  6. Step 6: Final answer
    x = 31,495.66

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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.