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Finding the Fourth Proportional to 81,977.76, 122,884.54 and 31,989.08

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Solution

The fourth proportional to 81,977.76, 122,884.54 and 31,989.08 is: 47,951.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,977.76 : 122,884.54 = 31,989.08 : x
  2. Step 2: Convert to fraction form
    81,977.76/122,884.54 = 31,989.08/x
  3. Step 3: Cross multiply
    81,977.76x = 122,884.54 × 31,989.08
  4. Step 4: Simplify right side
    81,977.76x = 3,930,963,380.82
  5. Step 5: Solve for x
    x = 3,930,963,380.82/81,977.76
  6. Step 6: Final answer
    x = 47,951.58

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Why These Related Problems?

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