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Finding the Fourth Proportional to 31,803.41, 47,713.22 and 14,279.87

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Solution

The fourth proportional to 31,803.41, 47,713.22 and 14,279.87 is: 21,423.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,803.41 : 47,713.22 = 14,279.87 : x
  2. Step 2: Convert to fraction form
    31,803.41/47,713.22 = 14,279.87/x
  3. Step 3: Cross multiply
    31,803.41x = 47,713.22 × 14,279.87
  4. Step 4: Simplify right side
    31,803.41x = 681,338,578.88
  5. Step 5: Solve for x
    x = 681,338,578.88/31,803.41
  6. Step 6: Final answer
    x = 21,423.44

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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.