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Finding the Fourth Proportional to 47,998.82, 66,241.86 and 27,867.36

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Solution

The fourth proportional to 47,998.82, 66,241.86 and 27,867.36 is: 38,458.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,998.82 : 66,241.86 = 27,867.36 : x
  2. Step 2: Convert to fraction form
    47,998.82/66,241.86 = 27,867.36/x
  3. Step 3: Cross multiply
    47,998.82x = 66,241.86 × 27,867.36
  4. Step 4: Simplify right side
    47,998.82x = 1,845,985,759.69
  5. Step 5: Solve for x
    x = 1,845,985,759.69/47,998.82
  6. Step 6: Final answer
    x = 38,458.98

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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.