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Finding the Fourth Proportional to 41,996, 57,954.66 and 23,132.72

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Solution

The fourth proportional to 41,996, 57,954.66 and 23,132.72 is: 31,923.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,996 : 57,954.66 = 23,132.72 : x
  2. Step 2: Convert to fraction form
    41,996/57,954.66 = 23,132.72/x
  3. Step 3: Cross multiply
    41,996x = 57,954.66 × 23,132.72
  4. Step 4: Simplify right side
    41,996x = 1,340,648,922.48
  5. Step 5: Solve for x
    x = 1,340,648,922.48/41,996
  6. Step 6: Final answer
    x = 31,923.25

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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.