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Finding the Fourth Proportional to 33,243.10, 49,836.31 and 14,509.13

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Solution

The fourth proportional to 33,243.10, 49,836.31 and 14,509.13 is: 21,751.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,243.10 : 49,836.31 = 14,509.13 : x
  2. Step 2: Convert to fraction form
    33,243.10/49,836.31 = 14,509.13/x
  3. Step 3: Cross multiply
    33,243.10x = 49,836.31 × 14,509.13
  4. Step 4: Simplify right side
    33,243.10x = 723,081,566.13
  5. Step 5: Solve for x
    x = 723,081,566.13/33,243.10
  6. Step 6: Final answer
    x = 21,751.33

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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.