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Finding the Fourth Proportional to 78,223.86, 107,948.30 and 42,413.76

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Solution

The fourth proportional to 78,223.86, 107,948.30 and 42,413.76 is: 58,530.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,223.86 : 107,948.30 = 42,413.76 : x
  2. Step 2: Convert to fraction form
    78,223.86/107,948.30 = 42,413.76/x
  3. Step 3: Cross multiply
    78,223.86x = 107,948.30 × 42,413.76
  4. Step 4: Simplify right side
    78,223.86x = 4,578,493,076.54
  5. Step 5: Solve for x
    x = 4,578,493,076.54/78,223.86
  6. Step 6: Final answer
    x = 58,530.65

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