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Finding the Fourth Proportional to 38,230, 52,757.58 and 21,463

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Solution

The fourth proportional to 38,230, 52,757.58 and 21,463 is: 29,619.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,230 : 52,757.58 = 21,463 : x
  2. Step 2: Convert to fraction form
    38,230/52,757.58 = 21,463/x
  3. Step 3: Cross multiply
    38,230x = 52,757.58 × 21,463
  4. Step 4: Simplify right side
    38,230x = 1,132,335,939.54
  5. Step 5: Solve for x
    x = 1,132,335,939.54/38,230
  6. Step 6: Final answer
    x = 29,619.04

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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.