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Finding the Fourth Proportional to 35,257.80, 52,885.20 and 11,884.20

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Solution

The fourth proportional to 35,257.80, 52,885.20 and 11,884.20 is: 17,825.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,257.80 : 52,885.20 = 11,884.20 : x
  2. Step 2: Convert to fraction form
    35,257.80/52,885.20 = 11,884.20/x
  3. Step 3: Cross multiply
    35,257.80x = 52,885.20 × 11,884.20
  4. Step 4: Simplify right side
    35,257.80x = 628,498,293.84
  5. Step 5: Solve for x
    x = 628,498,293.84/35,257.80
  6. Step 6: Final answer
    x = 17,825.79

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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.