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Finding the Fourth Proportional to 78,409.64, 117,577.40 and 30,400.71

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Solution

The fourth proportional to 78,409.64, 117,577.40 and 30,400.71 is: 45,586.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,409.64 : 117,577.40 = 30,400.71 : x
  2. Step 2: Convert to fraction form
    78,409.64/117,577.40 = 30,400.71/x
  3. Step 3: Cross multiply
    78,409.64x = 117,577.40 × 30,400.71
  4. Step 4: Simplify right side
    78,409.64x = 3,574,436,287.95
  5. Step 5: Solve for x
    x = 3,574,436,287.95/78,409.64
  6. Step 6: Final answer
    x = 45,586.70

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