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Finding the Fourth Proportional to 31,119.69, 46,679.52 and 11,399.79

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Solution

The fourth proportional to 31,119.69, 46,679.52 and 11,399.79 is: 17,099.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,119.69 : 46,679.52 = 11,399.79 : x
  2. Step 2: Convert to fraction form
    31,119.69/46,679.52 = 11,399.79/x
  3. Step 3: Cross multiply
    31,119.69x = 46,679.52 × 11,399.79
  4. Step 4: Simplify right side
    31,119.69x = 532,136,725.30
  5. Step 5: Solve for x
    x = 532,136,725.30/31,119.69
  6. Step 6: Final answer
    x = 17,099.68

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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.