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Finding the Fourth Proportional to 33,242.27, 49,817.66 and 14,244.16

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Solution

The fourth proportional to 33,242.27, 49,817.66 and 14,244.16 is: 21,346.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,242.27 : 49,817.66 = 14,244.16 : x
  2. Step 2: Convert to fraction form
    33,242.27/49,817.66 = 14,244.16/x
  3. Step 3: Cross multiply
    33,242.27x = 49,817.66 × 14,244.16
  4. Step 4: Simplify right side
    33,242.27x = 709,610,731.02
  5. Step 5: Solve for x
    x = 709,610,731.02/33,242.27
  6. Step 6: Final answer
    x = 21,346.64

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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.