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Finding the Fourth Proportional to 47,494.36, 65,540.28 and 27,352

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Solution

The fourth proportional to 47,494.36, 65,540.28 and 27,352 is: 37,744.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,494.36 : 65,540.28 = 27,352 : x
  2. Step 2: Convert to fraction form
    47,494.36/65,540.28 = 27,352/x
  3. Step 3: Cross multiply
    47,494.36x = 65,540.28 × 27,352
  4. Step 4: Simplify right side
    47,494.36x = 1,792,657,738.56
  5. Step 5: Solve for x
    x = 1,792,657,738.56/47,494.36
  6. Step 6: Final answer
    x = 37,744.64

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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.