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Finding the Fourth Proportional to 31,169.49, 46,743.17 and 10,104.41

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Solution

The fourth proportional to 31,169.49, 46,743.17 and 10,104.41 is: 15,153.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,169.49 : 46,743.17 = 10,104.41 : x
  2. Step 2: Convert to fraction form
    31,169.49/46,743.17 = 10,104.41/x
  3. Step 3: Cross multiply
    31,169.49x = 46,743.17 × 10,104.41
  4. Step 4: Simplify right side
    31,169.49x = 472,311,870.14
  5. Step 5: Solve for x
    x = 472,311,870.14/31,169.49
  6. Step 6: Final answer
    x = 15,153.02

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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.