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Finding the Fourth Proportional to 38,209.75, 52,734.32 and 21,442.75

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Solution

The fourth proportional to 38,209.75, 52,734.32 and 21,442.75 is: 29,593.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,209.75 : 52,734.32 = 21,442.75 : x
  2. Step 2: Convert to fraction form
    38,209.75/52,734.32 = 21,442.75/x
  3. Step 3: Cross multiply
    38,209.75x = 52,734.32 × 21,442.75
  4. Step 4: Simplify right side
    38,209.75x = 1,130,768,732.97
  5. Step 5: Solve for x
    x = 1,130,768,732.97/38,209.75
  6. Step 6: Final answer
    x = 29,593.72

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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.