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Finding the Fourth Proportional to 20,436.25, 30,475.54 and 20,249.41

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Solution

The fourth proportional to 20,436.25, 30,475.54 and 20,249.41 is: 30,196.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,436.25 : 30,475.54 = 20,249.41 : x
  2. Step 2: Convert to fraction form
    20,436.25/30,475.54 = 20,249.41/x
  3. Step 3: Cross multiply
    20,436.25x = 30,475.54 × 20,249.41
  4. Step 4: Simplify right side
    20,436.25x = 617,111,704.43
  5. Step 5: Solve for x
    x = 617,111,704.43/20,436.25
  6. Step 6: Final answer
    x = 30,196.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.