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Finding the Fourth Proportional to 82,577.66, 123,866.46 and 23,413.83

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Solution

The fourth proportional to 82,577.66, 123,866.46 and 23,413.83 is: 35,120.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,577.66 : 123,866.46 = 23,413.83 : x
  2. Step 2: Convert to fraction form
    82,577.66/123,866.46 = 23,413.83/x
  3. Step 3: Cross multiply
    82,577.66x = 123,866.46 × 23,413.83
  4. Step 4: Simplify right side
    82,577.66x = 2,900,188,237.14
  5. Step 5: Solve for x
    x = 2,900,188,237.14/82,577.66
  6. Step 6: Final answer
    x = 35,120.74

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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.