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Finding the Fourth Proportional to 35,921.94, 49,573.80 and 20,006.38

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Solution

The fourth proportional to 35,921.94, 49,573.80 and 20,006.38 is: 27,609.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,921.94 : 49,573.80 = 20,006.38 : x
  2. Step 2: Convert to fraction form
    35,921.94/49,573.80 = 20,006.38/x
  3. Step 3: Cross multiply
    35,921.94x = 49,573.80 × 20,006.38
  4. Step 4: Simplify right side
    35,921.94x = 991,792,404.78
  5. Step 5: Solve for x
    x = 991,792,404.78/35,921.94
  6. Step 6: Final answer
    x = 27,609.66

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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.