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Finding the Fourth Proportional to 75,146.34, 112,736.79 and 22,556.82

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Solution

The fourth proportional to 75,146.34, 112,736.79 and 22,556.82 is: 33,840.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,146.34 : 112,736.79 = 22,556.82 : x
  2. Step 2: Convert to fraction form
    75,146.34/112,736.79 = 22,556.82/x
  3. Step 3: Cross multiply
    75,146.34x = 112,736.79 × 22,556.82
  4. Step 4: Simplify right side
    75,146.34x = 2,542,983,479.41
  5. Step 5: Solve for x
    x = 2,542,983,479.41/75,146.34
  6. Step 6: Final answer
    x = 33,840.42

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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.