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Finding the Fourth Proportional to 25,146.49, 34,450.96 and 24,200.82

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Solution

The fourth proportional to 25,146.49, 34,450.96 and 24,200.82 is: 33,155.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,146.49 : 34,450.96 = 24,200.82 : x
  2. Step 2: Convert to fraction form
    25,146.49/34,450.96 = 24,200.82/x
  3. Step 3: Cross multiply
    25,146.49x = 34,450.96 × 24,200.82
  4. Step 4: Simplify right side
    25,146.49x = 833,741,481.79
  5. Step 5: Solve for x
    x = 833,741,481.79/25,146.49
  6. Step 6: Final answer
    x = 33,155.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.