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Finding the Fourth Proportional to 77,424.26, 116,141.80 and 30,677

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Solution

The fourth proportional to 77,424.26, 116,141.80 and 30,677 is: 46,017.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,424.26 : 116,141.80 = 30,677 : x
  2. Step 2: Convert to fraction form
    77,424.26/116,141.80 = 30,677/x
  3. Step 3: Cross multiply
    77,424.26x = 116,141.80 × 30,677
  4. Step 4: Simplify right side
    77,424.26x = 3,562,881,998.60
  5. Step 5: Solve for x
    x = 3,562,881,998.60/77,424.26
  6. Step 6: Final answer
    x = 46,017.64

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