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Finding the Fourth Proportional to 33,558.84, 50,339.79 and 23,742

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Solution

The fourth proportional to 33,558.84, 50,339.79 and 23,742 is: 35,614.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,558.84 : 50,339.79 = 23,742 : x
  2. Step 2: Convert to fraction form
    33,558.84/50,339.79 = 23,742/x
  3. Step 3: Cross multiply
    33,558.84x = 50,339.79 × 23,742
  4. Step 4: Simplify right side
    33,558.84x = 1,195,167,294.18
  5. Step 5: Solve for x
    x = 1,195,167,294.18/33,558.84
  6. Step 6: Final answer
    x = 35,614.08

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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.