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Finding the Fourth Proportional to 32,362.78, 48,481.97 and 19,846.30

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Solution

The fourth proportional to 32,362.78, 48,481.97 and 19,846.30 is: 29,731.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,362.78 : 48,481.97 = 19,846.30 : x
  2. Step 2: Convert to fraction form
    32,362.78/48,481.97 = 19,846.30/x
  3. Step 3: Cross multiply
    32,362.78x = 48,481.97 × 19,846.30
  4. Step 4: Simplify right side
    32,362.78x = 962,187,721.21
  5. Step 5: Solve for x
    x = 962,187,721.21/32,362.78
  6. Step 6: Final answer
    x = 29,731.31

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1.5x scale

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.