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Finding the Fourth Proportional to 76,413.66, 114,600.78 and 23,796.06

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Solution

The fourth proportional to 76,413.66, 114,600.78 and 23,796.06 is: 35,687.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,413.66 : 114,600.78 = 23,796.06 : x
  2. Step 2: Convert to fraction form
    76,413.66/114,600.78 = 23,796.06/x
  3. Step 3: Cross multiply
    76,413.66x = 114,600.78 × 23,796.06
  4. Step 4: Simplify right side
    76,413.66x = 2,727,047,036.93
  5. Step 5: Solve for x
    x = 2,727,047,036.93/76,413.66
  6. Step 6: Final answer
    x = 35,687.95

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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.