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Finding the Fourth Proportional to 47,999.66, 66,238.16 and 27,858.20

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Solution

The fourth proportional to 47,999.66, 66,238.16 and 27,858.20 is: 38,443.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,999.66 : 66,238.16 = 27,858.20 : x
  2. Step 2: Convert to fraction form
    47,999.66/66,238.16 = 27,858.20/x
  3. Step 3: Cross multiply
    47,999.66x = 66,238.16 × 27,858.20
  4. Step 4: Simplify right side
    47,999.66x = 1,845,275,438.43
  5. Step 5: Solve for x
    x = 1,845,275,438.43/47,999.66
  6. Step 6: Final answer
    x = 38,443.51

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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.