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Finding the Fourth Proportional to 84,817.80, 127,285 and 29,413.80

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Solution

The fourth proportional to 84,817.80, 127,285 and 29,413.80 is: 44,140.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,817.80 : 127,285 = 29,413.80 : x
  2. Step 2: Convert to fraction form
    84,817.80/127,285 = 29,413.80/x
  3. Step 3: Cross multiply
    84,817.80x = 127,285 × 29,413.80
  4. Step 4: Simplify right side
    84,817.80x = 3,743,935,533
  5. Step 5: Solve for x
    x = 3,743,935,533/84,817.80
  6. Step 6: Final answer
    x = 44,140.92

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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.