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Finding the Fourth Proportional to 26,094.51, 39,092.56 and 20,222.42

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Solution

The fourth proportional to 26,094.51, 39,092.56 and 20,222.42 is: 30,295.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,094.51 : 39,092.56 = 20,222.42 : x
  2. Step 2: Convert to fraction form
    26,094.51/39,092.56 = 20,222.42/x
  3. Step 3: Cross multiply
    26,094.51x = 39,092.56 × 20,222.42
  4. Step 4: Simplify right side
    26,094.51x = 790,545,870.62
  5. Step 5: Solve for x
    x = 790,545,870.62/26,094.51
  6. Step 6: Final answer
    x = 30,295.49

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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.