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Finding the Fourth Proportional to 33,187.41, 49,781.30 and 9,814.05

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Solution

The fourth proportional to 33,187.41, 49,781.30 and 9,814.05 is: 14,721.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,187.41 : 49,781.30 = 9,814.05 : x
  2. Step 2: Convert to fraction form
    33,187.41/49,781.30 = 9,814.05/x
  3. Step 3: Cross multiply
    33,187.41x = 49,781.30 × 9,814.05
  4. Step 4: Simplify right side
    33,187.41x = 488,556,118.19
  5. Step 5: Solve for x
    x = 488,556,118.19/33,187.41
  6. Step 6: Final answer
    x = 14,721.13

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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.