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Finding the Fourth Proportional to 54,309.73, 81,413.52 and 29,312.32

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Solution

The fourth proportional to 54,309.73, 81,413.52 and 29,312.32 is: 43,940.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,309.73 : 81,413.52 = 29,312.32 : x
  2. Step 2: Convert to fraction form
    54,309.73/81,413.52 = 29,312.32/x
  3. Step 3: Cross multiply
    54,309.73x = 81,413.52 × 29,312.32
  4. Step 4: Simplify right side
    54,309.73x = 2,386,419,150.57
  5. Step 5: Solve for x
    x = 2,386,419,150.57/54,309.73
  6. Step 6: Final answer
    x = 43,940.91

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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.