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Finding the Fourth Proportional to 53,006.21, 73,149.97 and 29,133.52

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Solution

The fourth proportional to 53,006.21, 73,149.97 and 29,133.52 is: 40,205.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,006.21 : 73,149.97 = 29,133.52 : x
  2. Step 2: Convert to fraction form
    53,006.21/73,149.97 = 29,133.52/x
  3. Step 3: Cross multiply
    53,006.21x = 73,149.97 × 29,133.52
  4. Step 4: Simplify right side
    53,006.21x = 2,131,116,324.38
  5. Step 5: Solve for x
    x = 2,131,116,324.38/53,006.21
  6. Step 6: Final answer
    x = 40,205.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.