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Finding the Fourth Proportional to 38,265.75, 52,806.74 and 21,498.75

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Solution

The fourth proportional to 38,265.75, 52,806.74 and 21,498.75 is: 29,668.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,265.75 : 52,806.74 = 21,498.75 : x
  2. Step 2: Convert to fraction form
    38,265.75/52,806.74 = 21,498.75/x
  3. Step 3: Cross multiply
    38,265.75x = 52,806.74 × 21,498.75
  4. Step 4: Simplify right side
    38,265.75x = 1,135,278,794.08
  5. Step 5: Solve for x
    x = 1,135,278,794.08/38,265.75
  6. Step 6: Final answer
    x = 29,668.28

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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.