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Finding the Fourth Proportional to 97,546.31, 146,304.20 and 30,977.67

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Solution

The fourth proportional to 97,546.31, 146,304.20 and 30,977.67 is: 46,461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,546.31 : 146,304.20 = 30,977.67 : x
  2. Step 2: Convert to fraction form
    97,546.31/146,304.20 = 30,977.67/x
  3. Step 3: Cross multiply
    97,546.31x = 146,304.20 × 30,977.67
  4. Step 4: Simplify right side
    97,546.31x = 4,532,163,072.33
  5. Step 5: Solve for x
    x = 4,532,163,072.33/97,546.31
  6. Step 6: Final answer
    x = 46,461.66

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