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Finding the Fourth Proportional to 31,383.95, 47,076.31 and 9,197.78

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Solution

The fourth proportional to 31,383.95, 47,076.31 and 9,197.78 is: 13,796.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,383.95 : 47,076.31 = 9,197.78 : x
  2. Step 2: Convert to fraction form
    31,383.95/47,076.31 = 9,197.78/x
  3. Step 3: Cross multiply
    31,383.95x = 47,076.31 × 9,197.78
  4. Step 4: Simplify right side
    31,383.95x = 432,997,542.59
  5. Step 5: Solve for x
    x = 432,997,542.59/31,383.95
  6. Step 6: Final answer
    x = 13,796.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.