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Finding the Fourth Proportional to 86,585.98, 129,865.98 and 27,413.98

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Solution

The fourth proportional to 86,585.98, 129,865.98 and 27,413.98 is: 41,116.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,585.98 : 129,865.98 = 27,413.98 : x
  2. Step 2: Convert to fraction form
    86,585.98/129,865.98 = 27,413.98/x
  3. Step 3: Cross multiply
    86,585.98x = 129,865.98 × 27,413.98
  4. Step 4: Simplify right side
    86,585.98x = 3,560,143,378.40
  5. Step 5: Solve for x
    x = 3,560,143,378.40/86,585.98
  6. Step 6: Final answer
    x = 41,116.86

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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.