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Finding the Fourth Proportional to 47,046.30, 70,546.77 and 27,330.50

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Solution

The fourth proportional to 47,046.30, 70,546.77 and 27,330.50 is: 40,982.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,046.30 : 70,546.77 = 27,330.50 : x
  2. Step 2: Convert to fraction form
    47,046.30/70,546.77 = 27,330.50/x
  3. Step 3: Cross multiply
    47,046.30x = 70,546.77 × 27,330.50
  4. Step 4: Simplify right side
    47,046.30x = 1,928,078,144.75
  5. Step 5: Solve for x
    x = 1,928,078,144.75/47,046.30
  6. Step 6: Final answer
    x = 40,982.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.