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Finding the Fourth Proportional to 33,138.26, 49,699.94 and 9,445.33

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Solution

The fourth proportional to 33,138.26, 49,699.94 and 9,445.33 is: 14,165.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,138.26 : 49,699.94 = 9,445.33 : x
  2. Step 2: Convert to fraction form
    33,138.26/49,699.94 = 9,445.33/x
  3. Step 3: Cross multiply
    33,138.26x = 49,699.94 × 9,445.33
  4. Step 4: Simplify right side
    33,138.26x = 469,432,162.80
  5. Step 5: Solve for x
    x = 469,432,162.80/33,138.26
  6. Step 6: Final answer
    x = 14,165.87

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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.