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Finding the Fourth Proportional to 12,050.97, 18,076.97 and 3,731.14

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Solution

The fourth proportional to 12,050.97, 18,076.97 and 3,731.14 is: 5,596.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,050.97 : 18,076.97 = 3,731.14 : x
  2. Step 2: Convert to fraction form
    12,050.97/18,076.97 = 3,731.14/x
  3. Step 3: Cross multiply
    12,050.97x = 18,076.97 × 3,731.14
  4. Step 4: Simplify right side
    12,050.97x = 67,447,615.10
  5. Step 5: Solve for x
    x = 67,447,615.10/12,050.97
  6. Step 6: Final answer
    x = 5,596.86

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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.