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Finding the Fourth Proportional to 75,255.30, 103,851.72 and 41,721.30

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Solution

The fourth proportional to 75,255.30, 103,851.72 and 41,721.30 is: 57,575.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,255.30 : 103,851.72 = 41,721.30 : x
  2. Step 2: Convert to fraction form
    75,255.30/103,851.72 = 41,721.30/x
  3. Step 3: Cross multiply
    75,255.30x = 103,851.72 × 41,721.30
  4. Step 4: Simplify right side
    75,255.30x = 4,332,828,765.64
  5. Step 5: Solve for x
    x = 4,332,828,765.64/75,255.30
  6. Step 6: Final answer
    x = 57,575.06

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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.