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Finding the Fourth Proportional to 31,453.68, 47,131.11 and 14,809.80

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Solution

The fourth proportional to 31,453.68, 47,131.11 and 14,809.80 is: 22,191.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,453.68 : 47,131.11 = 14,809.80 : x
  2. Step 2: Convert to fraction form
    31,453.68/47,131.11 = 14,809.80/x
  3. Step 3: Cross multiply
    31,453.68x = 47,131.11 × 14,809.80
  4. Step 4: Simplify right side
    31,453.68x = 698,002,312.88
  5. Step 5: Solve for x
    x = 698,002,312.88/31,453.68
  6. Step 6: Final answer
    x = 22,191.44

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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.