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Finding the Fourth Proportional to 78,534.47, 117,801.16 and 31,786.67

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Solution

The fourth proportional to 78,534.47, 117,801.16 and 31,786.67 is: 47,679.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,534.47 : 117,801.16 = 31,786.67 : x
  2. Step 2: Convert to fraction form
    78,534.47/117,801.16 = 31,786.67/x
  3. Step 3: Cross multiply
    78,534.47x = 117,801.16 × 31,786.67
  4. Step 4: Simplify right side
    78,534.47x = 3,744,506,439.60
  5. Step 5: Solve for x
    x = 3,744,506,439.60/78,534.47
  6. Step 6: Final answer
    x = 47,679.78

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