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Finding the Fourth Proportional to 54,607.86, 75,361.86 and 33,381

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Solution

The fourth proportional to 54,607.86, 75,361.86 and 33,381 is: 46,067.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,607.86 : 75,361.86 = 33,381 : x
  2. Step 2: Convert to fraction form
    54,607.86/75,361.86 = 33,381/x
  3. Step 3: Cross multiply
    54,607.86x = 75,361.86 × 33,381
  4. Step 4: Simplify right side
    54,607.86x = 2,515,654,248.66
  5. Step 5: Solve for x
    x = 2,515,654,248.66/54,607.86
  6. Step 6: Final answer
    x = 46,067.62

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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.