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Finding the Fourth Proportional to 33,124.11, 49,678.69 and 9,431.13

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Solution

The fourth proportional to 33,124.11, 49,678.69 and 9,431.13 is: 14,144.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,124.11 : 49,678.69 = 9,431.13 : x
  2. Step 2: Convert to fraction form
    33,124.11/49,678.69 = 9,431.13/x
  3. Step 3: Cross multiply
    33,124.11x = 49,678.69 × 9,431.13
  4. Step 4: Simplify right side
    33,124.11x = 468,526,160.04
  5. Step 5: Solve for x
    x = 468,526,160.04/33,124.11
  6. Step 6: Final answer
    x = 14,144.57

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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.