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Finding the Fourth Proportional to 47,268, 65,227.80 and 27,110.88

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Solution

The fourth proportional to 47,268, 65,227.80 and 27,110.88 is: 37,411.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,268 : 65,227.80 = 27,110.88 : x
  2. Step 2: Convert to fraction form
    47,268/65,227.80 = 27,110.88/x
  3. Step 3: Cross multiply
    47,268x = 65,227.80 × 27,110.88
  4. Step 4: Simplify right side
    47,268x = 1,768,383,058.46
  5. Step 5: Solve for x
    x = 1,768,383,058.46/47,268
  6. Step 6: Final answer
    x = 37,411.84

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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.