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Finding the Fourth Proportional to 97,784.96, 146,676.20 and 31,224.25

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Solution

The fourth proportional to 97,784.96, 146,676.20 and 31,224.25 is: 46,835.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,784.96 : 146,676.20 = 31,224.25 : x
  2. Step 2: Convert to fraction form
    97,784.96/146,676.20 = 31,224.25/x
  3. Step 3: Cross multiply
    97,784.96x = 146,676.20 × 31,224.25
  4. Step 4: Simplify right side
    97,784.96x = 4,579,854,337.85
  5. Step 5: Solve for x
    x = 4,579,854,337.85/97,784.96
  6. Step 6: Final answer
    x = 46,835.98

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