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Finding the Fourth Proportional to 33,452.25, 46,162.71 and 20,031

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Solution

The fourth proportional to 33,452.25, 46,162.71 and 20,031 is: 27,641.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,452.25 : 46,162.71 = 20,031 : x
  2. Step 2: Convert to fraction form
    33,452.25/46,162.71 = 20,031/x
  3. Step 3: Cross multiply
    33,452.25x = 46,162.71 × 20,031
  4. Step 4: Simplify right side
    33,452.25x = 924,685,244.01
  5. Step 5: Solve for x
    x = 924,685,244.01/33,452.25
  6. Step 6: Final answer
    x = 27,641.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.