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Finding the Fourth Proportional to 38,049.08, 52,507.86 and 21,281

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Solution

The fourth proportional to 38,049.08, 52,507.86 and 21,281 is: 29,367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,049.08 : 52,507.86 = 21,281 : x
  2. Step 2: Convert to fraction form
    38,049.08/52,507.86 = 21,281/x
  3. Step 3: Cross multiply
    38,049.08x = 52,507.86 × 21,281
  4. Step 4: Simplify right side
    38,049.08x = 1,117,419,768.66
  5. Step 5: Solve for x
    x = 1,117,419,768.66/38,049.08
  6. Step 6: Final answer
    x = 29,367.85

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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.