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Finding the Fourth Proportional to 109,413.10, 164,119.63 and 34,585.77

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Solution

The fourth proportional to 109,413.10, 164,119.63 and 34,585.77 is: 51,878.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,413.10 : 164,119.63 = 34,585.77 : x
  2. Step 2: Convert to fraction form
    109,413.10/164,119.63 = 34,585.77/x
  3. Step 3: Cross multiply
    109,413.10x = 164,119.63 × 34,585.77
  4. Step 4: Simplify right side
    109,413.10x = 5,676,203,689.20
  5. Step 5: Solve for x
    x = 5,676,203,689.20/109,413.10
  6. Step 6: Final answer
    x = 51,878.65

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