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Finding the Fourth Proportional to 31,818.40, 47,713.20 and 14,279.20

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Solution

The fourth proportional to 31,818.40, 47,713.20 and 14,279.20 is: 21,412.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,818.40 : 47,713.20 = 14,279.20 : x
  2. Step 2: Convert to fraction form
    31,818.40/47,713.20 = 14,279.20/x
  3. Step 3: Cross multiply
    31,818.40x = 47,713.20 × 14,279.20
  4. Step 4: Simplify right side
    31,818.40x = 681,306,325.44
  5. Step 5: Solve for x
    x = 681,306,325.44/31,818.40
  6. Step 6: Final answer
    x = 21,412.34

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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.