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Finding the Fourth Proportional to 47,468.28, 65,509.16 and 27,324.72

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Solution

The fourth proportional to 47,468.28, 65,509.16 and 27,324.72 is: 37,709.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,468.28 : 65,509.16 = 27,324.72 : x
  2. Step 2: Convert to fraction form
    47,468.28/65,509.16 = 27,324.72/x
  3. Step 3: Cross multiply
    47,468.28x = 65,509.16 × 27,324.72
  4. Step 4: Simplify right side
    47,468.28x = 1,790,019,454.44
  5. Step 5: Solve for x
    x = 1,790,019,454.44/47,468.28
  6. Step 6: Final answer
    x = 37,709.80

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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.