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Finding the Fourth Proportional to 31,494.74, 47,250.23 and 11,773.44

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Solution

The fourth proportional to 31,494.74, 47,250.23 and 11,773.44 is: 17,663.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,494.74 : 47,250.23 = 11,773.44 : x
  2. Step 2: Convert to fraction form
    31,494.74/47,250.23 = 11,773.44/x
  3. Step 3: Cross multiply
    31,494.74x = 47,250.23 × 11,773.44
  4. Step 4: Simplify right side
    31,494.74x = 556,297,689.02
  5. Step 5: Solve for x
    x = 556,297,689.02/31,494.74
  6. Step 6: Final answer
    x = 17,663.20

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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.