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Finding the Fourth Proportional to 33,099.57, 49,649.31 and 14,377.23

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Solution

The fourth proportional to 33,099.57, 49,649.31 and 14,377.23 is: 21,565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,099.57 : 49,649.31 = 14,377.23 : x
  2. Step 2: Convert to fraction form
    33,099.57/49,649.31 = 14,377.23/x
  3. Step 3: Cross multiply
    33,099.57x = 49,649.31 × 14,377.23
  4. Step 4: Simplify right side
    33,099.57x = 713,819,549.21
  5. Step 5: Solve for x
    x = 713,819,549.21/33,099.57
  6. Step 6: Final answer
    x = 21,565.83

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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.