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Finding the Fourth Proportional to 35,772.54, 49,370.70 and 21,625.38

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Solution

The fourth proportional to 35,772.54, 49,370.70 and 21,625.38 is: 29,845.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,772.54 : 49,370.70 = 21,625.38 : x
  2. Step 2: Convert to fraction form
    35,772.54/49,370.70 = 21,625.38/x
  3. Step 3: Cross multiply
    35,772.54x = 49,370.70 × 21,625.38
  4. Step 4: Simplify right side
    35,772.54x = 1,067,660,148.37
  5. Step 5: Solve for x
    x = 1,067,660,148.37/35,772.54
  6. Step 6: Final answer
    x = 29,845.80

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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.