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Finding the Fourth Proportional to 47,512.53, 65,574.24 and 27,365.49

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Solution

The fourth proportional to 47,512.53, 65,574.24 and 27,365.49 is: 37,768.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,512.53 : 65,574.24 = 27,365.49 : x
  2. Step 2: Convert to fraction form
    47,512.53/65,574.24 = 27,365.49/x
  3. Step 3: Cross multiply
    47,512.53x = 65,574.24 × 27,365.49
  4. Step 4: Simplify right side
    47,512.53x = 1,794,471,208.98
  5. Step 5: Solve for x
    x = 1,794,471,208.98/47,512.53
  6. Step 6: Final answer
    x = 37,768.38

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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.