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Finding the Fourth Proportional to 70,873.52, 106,336.09 and 32,940.30

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Solution

The fourth proportional to 70,873.52, 106,336.09 and 32,940.30 is: 49,422.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,873.52 : 106,336.09 = 32,940.30 : x
  2. Step 2: Convert to fraction form
    70,873.52/106,336.09 = 32,940.30/x
  3. Step 3: Cross multiply
    70,873.52x = 106,336.09 × 32,940.30
  4. Step 4: Simplify right side
    70,873.52x = 3,502,743,145.36
  5. Step 5: Solve for x
    x = 3,502,743,145.36/70,873.52
  6. Step 6: Final answer
    x = 49,422.46

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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.