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Finding the Fourth Proportional to 78,518.74, 117,780.81 and 31,142.83

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Solution

The fourth proportional to 78,518.74, 117,780.81 and 31,142.83 is: 46,715.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,518.74 : 117,780.81 = 31,142.83 : x
  2. Step 2: Convert to fraction form
    78,518.74/117,780.81 = 31,142.83/x
  3. Step 3: Cross multiply
    78,518.74x = 117,780.81 × 31,142.83
  4. Step 4: Simplify right side
    78,518.74x = 3,668,027,743.09
  5. Step 5: Solve for x
    x = 3,668,027,743.09/78,518.74
  6. Step 6: Final answer
    x = 46,715.32

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