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Finding the Fourth Proportional to 47,952.08, 71,965.78 and 33,264.34

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Solution

The fourth proportional to 47,952.08, 71,965.78 and 33,264.34 is: 49,922.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,952.08 : 71,965.78 = 33,264.34 : x
  2. Step 2: Convert to fraction form
    47,952.08/71,965.78 = 33,264.34/x
  3. Step 3: Cross multiply
    47,952.08x = 71,965.78 × 33,264.34
  4. Step 4: Simplify right side
    47,952.08x = 2,393,894,174.29
  5. Step 5: Solve for x
    x = 2,393,894,174.29/47,952.08
  6. Step 6: Final answer
    x = 49,922.63

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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.