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Finding the Fourth Proportional to 31,401.64, 47,104.02 and 8,028.28

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Solution

The fourth proportional to 31,401.64, 47,104.02 and 8,028.28 is: 12,042.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,401.64 : 47,104.02 = 8,028.28 : x
  2. Step 2: Convert to fraction form
    31,401.64/47,104.02 = 8,028.28/x
  3. Step 3: Cross multiply
    31,401.64x = 47,104.02 × 8,028.28
  4. Step 4: Simplify right side
    31,401.64x = 378,164,261.69
  5. Step 5: Solve for x
    x = 378,164,261.69/31,401.64
  6. Step 6: Final answer
    x = 12,042.82

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