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Finding the Fourth Proportional to 71,752.76, 107,629.20 and 34,304

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Solution

The fourth proportional to 71,752.76, 107,629.20 and 34,304 is: 51,456.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,752.76 : 107,629.20 = 34,304 : x
  2. Step 2: Convert to fraction form
    71,752.76/107,629.20 = 34,304/x
  3. Step 3: Cross multiply
    71,752.76x = 107,629.20 × 34,304
  4. Step 4: Simplify right side
    71,752.76x = 3,692,112,076.80
  5. Step 5: Solve for x
    x = 3,692,112,076.80/71,752.76
  6. Step 6: Final answer
    x = 51,456.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.