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Finding the Fourth Proportional to 31,705.56, 47,559.24 and 9,519.48

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Solution

The fourth proportional to 31,705.56, 47,559.24 and 9,519.48 is: 14,279.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,705.56 : 47,559.24 = 9,519.48 : x
  2. Step 2: Convert to fraction form
    31,705.56/47,559.24 = 9,519.48/x
  3. Step 3: Cross multiply
    31,705.56x = 47,559.24 × 9,519.48
  4. Step 4: Simplify right side
    31,705.56x = 452,739,234.00
  5. Step 5: Solve for x
    x = 452,739,234.00/31,705.56
  6. Step 6: Final answer
    x = 14,279.49

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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.