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Finding the Fourth Proportional to 38,794.54, 53,535.98 and 22,026.46

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Solution

The fourth proportional to 38,794.54, 53,535.98 and 22,026.46 is: 30,396.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,794.54 : 53,535.98 = 22,026.46 : x
  2. Step 2: Convert to fraction form
    38,794.54/53,535.98 = 22,026.46/x
  3. Step 3: Cross multiply
    38,794.54x = 53,535.98 × 22,026.46
  4. Step 4: Simplify right side
    38,794.54x = 1,179,208,122.03
  5. Step 5: Solve for x
    x = 1,179,208,122.03/38,794.54
  6. Step 6: Final answer
    x = 30,396.24

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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.