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Finding the Fourth Proportional to 31,849.44, 47,774.27 and 9,663

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Solution

The fourth proportional to 31,849.44, 47,774.27 and 9,663 is: 14,494.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,849.44 : 47,774.27 = 9,663 : x
  2. Step 2: Convert to fraction form
    31,849.44/47,774.27 = 9,663/x
  3. Step 3: Cross multiply
    31,849.44x = 47,774.27 × 9,663
  4. Step 4: Simplify right side
    31,849.44x = 461,642,722.70
  5. Step 5: Solve for x
    x = 461,642,722.70/31,849.44
  6. Step 6: Final answer
    x = 14,494.53

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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.