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Finding the Fourth Proportional to 47,516, 65,571.24 and 27,372.80

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Solution

The fourth proportional to 47,516, 65,571.24 and 27,372.80 is: 37,773.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,516 : 65,571.24 = 27,372.80 : x
  2. Step 2: Convert to fraction form
    47,516/65,571.24 = 27,372.80/x
  3. Step 3: Cross multiply
    47,516x = 65,571.24 × 27,372.80
  4. Step 4: Simplify right side
    47,516x = 1,794,868,438.27
  5. Step 5: Solve for x
    x = 1,794,868,438.27/47,516
  6. Step 6: Final answer
    x = 37,773.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.