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Finding the Fourth Proportional to 31,897.80, 47,850.61 and 10,841.31

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Solution

The fourth proportional to 31,897.80, 47,850.61 and 10,841.31 is: 16,263.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,897.80 : 47,850.61 = 10,841.31 : x
  2. Step 2: Convert to fraction form
    31,897.80/47,850.61 = 10,841.31/x
  3. Step 3: Cross multiply
    31,897.80x = 47,850.61 × 10,841.31
  4. Step 4: Simplify right side
    31,897.80x = 518,763,289.92
  5. Step 5: Solve for x
    x = 518,763,289.92/31,897.80
  6. Step 6: Final answer
    x = 16,263.29

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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.