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Finding the Fourth Proportional to 81,773.62, 122,557.83 and 34,971.46

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Solution

The fourth proportional to 81,773.62, 122,557.83 and 34,971.46 is: 52,413.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,773.62 : 122,557.83 = 34,971.46 : x
  2. Step 2: Convert to fraction form
    81,773.62/122,557.83 = 34,971.46/x
  3. Step 3: Cross multiply
    81,773.62x = 122,557.83 × 34,971.46
  4. Step 4: Simplify right side
    81,773.62x = 4,286,026,249.53
  5. Step 5: Solve for x
    x = 4,286,026,249.53/81,773.62
  6. Step 6: Final answer
    x = 52,413.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.