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Finding the Fourth Proportional to 47,520.75, 65,578.64 and 27,648.75

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Solution

The fourth proportional to 47,520.75, 65,578.64 and 27,648.75 is: 38,155.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,520.75 : 65,578.64 = 27,648.75 : x
  2. Step 2: Convert to fraction form
    47,520.75/65,578.64 = 27,648.75/x
  3. Step 3: Cross multiply
    47,520.75x = 65,578.64 × 27,648.75
  4. Step 4: Simplify right side
    47,520.75x = 1,813,167,284.46
  5. Step 5: Solve for x
    x = 1,813,167,284.46/47,520.75
  6. Step 6: Final answer
    x = 38,155.28

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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.