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Finding the Fourth Proportional to 33,093.81, 49,642.80 and 9,403.11

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Solution

The fourth proportional to 33,093.81, 49,642.80 and 9,403.11 is: 14,105.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,093.81 : 49,642.80 = 9,403.11 : x
  2. Step 2: Convert to fraction form
    33,093.81/49,642.80 = 9,403.11/x
  3. Step 3: Cross multiply
    33,093.81x = 49,642.80 × 9,403.11
  4. Step 4: Simplify right side
    33,093.81x = 466,796,709.11
  5. Step 5: Solve for x
    x = 466,796,709.11/33,093.81
  6. Step 6: Final answer
    x = 14,105.26

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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.