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Finding the Fourth Proportional to 33,084.69, 49,627.04 and 9,711.13

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Solution

The fourth proportional to 33,084.69, 49,627.04 and 9,711.13 is: 14,566.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,084.69 : 49,627.04 = 9,711.13 : x
  2. Step 2: Convert to fraction form
    33,084.69/49,627.04 = 9,711.13/x
  3. Step 3: Cross multiply
    33,084.69x = 49,627.04 × 9,711.13
  4. Step 4: Simplify right side
    33,084.69x = 481,934,340.26
  5. Step 5: Solve for x
    x = 481,934,340.26/33,084.69
  6. Step 6: Final answer
    x = 14,566.69

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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.