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Finding the Fourth Proportional to 92,067.75, 127,053.63 and 54,342

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Solution

The fourth proportional to 92,067.75, 127,053.63 and 54,342 is: 74,992.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,067.75 : 127,053.63 = 54,342 : x
  2. Step 2: Convert to fraction form
    92,067.75/127,053.63 = 54,342/x
  3. Step 3: Cross multiply
    92,067.75x = 127,053.63 × 54,342
  4. Step 4: Simplify right side
    92,067.75x = 6,904,348,361.46
  5. Step 5: Solve for x
    x = 6,904,348,361.46/92,067.75
  6. Step 6: Final answer
    x = 74,992.04

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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.