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Finding the Fourth Proportional to 33,660.80, 46,413.60 and 27,592

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Solution

The fourth proportional to 33,660.80, 46,413.60 and 27,592 is: 38,045.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,660.80 : 46,413.60 = 27,592 : x
  2. Step 2: Convert to fraction form
    33,660.80/46,413.60 = 27,592/x
  3. Step 3: Cross multiply
    33,660.80x = 46,413.60 × 27,592
  4. Step 4: Simplify right side
    33,660.80x = 1,280,644,051.20
  5. Step 5: Solve for x
    x = 1,280,644,051.20/33,660.80
  6. Step 6: Final answer
    x = 38,045.56

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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.