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Finding the Fourth Proportional to 31,494.49, 47,249.85 and 11,773.19

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Solution

The fourth proportional to 31,494.49, 47,249.85 and 11,773.19 is: 17,662.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,494.49 : 47,249.85 = 11,773.19 : x
  2. Step 2: Convert to fraction form
    31,494.49/47,249.85 = 11,773.19/x
  3. Step 3: Cross multiply
    31,494.49x = 47,249.85 × 11,773.19
  4. Step 4: Simplify right side
    31,494.49x = 556,281,461.52
  5. Step 5: Solve for x
    x = 556,281,461.52/31,494.49
  6. Step 6: Final answer
    x = 17,662.82

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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.