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Finding the Fourth Proportional to 31,774.70, 43,847.78 and 18,349.76

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Solution

The fourth proportional to 31,774.70, 43,847.78 and 18,349.76 is: 25,321.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,774.70 : 43,847.78 = 18,349.76 : x
  2. Step 2: Convert to fraction form
    31,774.70/43,847.78 = 18,349.76/x
  3. Step 3: Cross multiply
    31,774.70x = 43,847.78 × 18,349.76
  4. Step 4: Simplify right side
    31,774.70x = 804,596,239.53
  5. Step 5: Solve for x
    x = 804,596,239.53/31,774.70
  6. Step 6: Final answer
    x = 25,321.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.