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Finding the Fourth Proportional to 47,424.72, 65,441.88 and 27,276.24

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Solution

The fourth proportional to 47,424.72, 65,441.88 and 27,276.24 is: 37,638.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,424.72 : 65,441.88 = 27,276.24 : x
  2. Step 2: Convert to fraction form
    47,424.72/65,441.88 = 27,276.24/x
  3. Step 3: Cross multiply
    47,424.72x = 65,441.88 × 27,276.24
  4. Step 4: Simplify right side
    47,424.72x = 1,785,008,424.93
  5. Step 5: Solve for x
    x = 1,785,008,424.93/47,424.72
  6. Step 6: Final answer
    x = 37,638.78

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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.