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Finding the Fourth Proportional to 31,894.14, 47,810 and 11,889.02

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Solution

The fourth proportional to 31,894.14, 47,810 and 11,889.02 is: 17,821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,894.14 : 47,810 = 11,889.02 : x
  2. Step 2: Convert to fraction form
    31,894.14/47,810 = 11,889.02/x
  3. Step 3: Cross multiply
    31,894.14x = 47,810 × 11,889.02
  4. Step 4: Simplify right side
    31,894.14x = 568,414,046.20
  5. Step 5: Solve for x
    x = 568,414,046.20/31,894.14
  6. Step 6: Final answer
    x = 17,821.90

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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.