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Finding the Fourth Proportional to 47,380.76, 65,364.90 and 27,233

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Solution

The fourth proportional to 47,380.76, 65,364.90 and 27,233 is: 37,569.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,380.76 : 65,364.90 = 27,233 : x
  2. Step 2: Convert to fraction form
    47,380.76/65,364.90 = 27,233/x
  3. Step 3: Cross multiply
    47,380.76x = 65,364.90 × 27,233
  4. Step 4: Simplify right side
    47,380.76x = 1,780,082,321.70
  5. Step 5: Solve for x
    x = 1,780,082,321.70/47,380.76
  6. Step 6: Final answer
    x = 37,569.73

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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.