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Finding the Fourth Proportional to 84,787.72, 127,174.20 and 32,197.60

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Solution

The fourth proportional to 84,787.72, 127,174.20 and 32,197.60 is: 48,293.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,787.72 : 127,174.20 = 32,197.60 : x
  2. Step 2: Convert to fraction form
    84,787.72/127,174.20 = 32,197.60/x
  3. Step 3: Cross multiply
    84,787.72x = 127,174.20 × 32,197.60
  4. Step 4: Simplify right side
    84,787.72x = 4,094,704,021.92
  5. Step 5: Solve for x
    x = 4,094,704,021.92/84,787.72
  6. Step 6: Final answer
    x = 48,293.60

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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.