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Finding the Fourth Proportional to 41,823, 57,715.74 and 22,961.34

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Solution

The fourth proportional to 41,823, 57,715.74 and 22,961.34 is: 31,686.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,823 : 57,715.74 = 22,961.34 : x
  2. Step 2: Convert to fraction form
    41,823/57,715.74 = 22,961.34/x
  3. Step 3: Cross multiply
    41,823x = 57,715.74 × 22,961.34
  4. Step 4: Simplify right side
    41,823x = 1,325,230,729.49
  5. Step 5: Solve for x
    x = 1,325,230,729.49/41,823
  6. Step 6: Final answer
    x = 31,686.65

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