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Finding the Fourth Proportional to 88,906.31, 122,655.70 and 54,855.46

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Solution

The fourth proportional to 88,906.31, 122,655.70 and 54,855.46 is: 75,678.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,906.31 : 122,655.70 = 54,855.46 : x
  2. Step 2: Convert to fraction form
    88,906.31/122,655.70 = 54,855.46/x
  3. Step 3: Cross multiply
    88,906.31x = 122,655.70 × 54,855.46
  4. Step 4: Simplify right side
    88,906.31x = 6,728,335,067.01
  5. Step 5: Solve for x
    x = 6,728,335,067.01/88,906.31
  6. Step 6: Final answer
    x = 75,678.94

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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.