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Finding the Fourth Proportional to 41,634.16, 57,453.71 and 23,734.93

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Solution

The fourth proportional to 41,634.16, 57,453.71 and 23,734.93 is: 32,753.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,634.16 : 57,453.71 = 23,734.93 : x
  2. Step 2: Convert to fraction form
    41,634.16/57,453.71 = 23,734.93/x
  3. Step 3: Cross multiply
    41,634.16x = 57,453.71 × 23,734.93
  4. Step 4: Simplify right side
    41,634.16x = 1,363,659,522.78
  5. Step 5: Solve for x
    x = 1,363,659,522.78/41,634.16
  6. Step 6: Final answer
    x = 32,753.38

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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.