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Finding the Fourth Proportional to 23,350.22, 34,978.54 and 22,123.74

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Solution

The fourth proportional to 23,350.22, 34,978.54 and 22,123.74 is: 33,141.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,350.22 : 34,978.54 = 22,123.74 : x
  2. Step 2: Convert to fraction form
    23,350.22/34,978.54 = 22,123.74/x
  3. Step 3: Cross multiply
    23,350.22x = 34,978.54 × 22,123.74
  4. Step 4: Simplify right side
    23,350.22x = 773,856,124.54
  5. Step 5: Solve for x
    x = 773,856,124.54/23,350.22
  6. Step 6: Final answer
    x = 33,141.28

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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.