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Finding the Fourth Proportional to 47,377.70, 71,103.69 and 33,053.01

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Solution

The fourth proportional to 47,377.70, 71,103.69 and 33,053.01 is: 49,605.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,377.70 : 71,103.69 = 33,053.01 : x
  2. Step 2: Convert to fraction form
    47,377.70/71,103.69 = 33,053.01/x
  3. Step 3: Cross multiply
    47,377.70x = 71,103.69 × 33,053.01
  4. Step 4: Simplify right side
    47,377.70x = 2,350,190,976.61
  5. Step 5: Solve for x
    x = 2,350,190,976.61/47,377.70
  6. Step 6: Final answer
    x = 49,605.43

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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.