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Finding the Fourth Proportional to 31,384, 47,075.96 and 8,010.44

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Solution

The fourth proportional to 31,384, 47,075.96 and 8,010.44 is: 12,015.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,384 : 47,075.96 = 8,010.44 : x
  2. Step 2: Convert to fraction form
    31,384/47,075.96 = 8,010.44/x
  3. Step 3: Cross multiply
    31,384x = 47,075.96 × 8,010.44
  4. Step 4: Simplify right side
    31,384x = 377,099,153.02
  5. Step 5: Solve for x
    x = 377,099,153.02/31,384
  6. Step 6: Final answer
    x = 12,015.65

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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.