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Finding the Fourth Proportional to 38,524.82, 53,163.74 and 22,606.29

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Solution

The fourth proportional to 38,524.82, 53,163.74 and 22,606.29 is: 31,196.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,524.82 : 53,163.74 = 22,606.29 : x
  2. Step 2: Convert to fraction form
    38,524.82/53,163.74 = 22,606.29/x
  3. Step 3: Cross multiply
    38,524.82x = 53,163.74 × 22,606.29
  4. Step 4: Simplify right side
    38,524.82x = 1,201,834,980.44
  5. Step 5: Solve for x
    x = 1,201,834,980.44/38,524.82
  6. Step 6: Final answer
    x = 31,196.39

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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.