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Finding the Fourth Proportional to 41,851.65, 57,765.24 and 23,957

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Solution

The fourth proportional to 41,851.65, 57,765.24 and 23,957 is: 33,066.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,851.65 : 57,765.24 = 23,957 : x
  2. Step 2: Convert to fraction form
    41,851.65/57,765.24 = 23,957/x
  3. Step 3: Cross multiply
    41,851.65x = 57,765.24 × 23,957
  4. Step 4: Simplify right side
    41,851.65x = 1,383,881,854.68
  5. Step 5: Solve for x
    x = 1,383,881,854.68/41,851.65
  6. Step 6: Final answer
    x = 33,066.36

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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.