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Finding the Fourth Proportional to 35,232.97, 52,850.42 and 10,272.42

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Solution

The fourth proportional to 35,232.97, 52,850.42 and 10,272.42 is: 15,408.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,232.97 : 52,850.42 = 10,272.42 : x
  2. Step 2: Convert to fraction form
    35,232.97/52,850.42 = 10,272.42/x
  3. Step 3: Cross multiply
    35,232.97x = 52,850.42 × 10,272.42
  4. Step 4: Simplify right side
    35,232.97x = 542,901,395.80
  5. Step 5: Solve for x
    x = 542,901,395.80/35,232.97
  6. Step 6: Final answer
    x = 15,408.90

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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.