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Finding the Fourth Proportional to 70,846.52, 106,178.10 and 32,881.88

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Solution

The fourth proportional to 70,846.52, 106,178.10 and 32,881.88 is: 49,280.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,846.52 : 106,178.10 = 32,881.88 : x
  2. Step 2: Convert to fraction form
    70,846.52/106,178.10 = 32,881.88/x
  3. Step 3: Cross multiply
    70,846.52x = 106,178.10 × 32,881.88
  4. Step 4: Simplify right side
    70,846.52x = 3,491,335,542.83
  5. Step 5: Solve for x
    x = 3,491,335,542.83/70,846.52
  6. Step 6: Final answer
    x = 49,280.27

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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.