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Finding the Fourth Proportional to 35,315.62, 48,721.74 and 20,200.21

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Solution

The fourth proportional to 35,315.62, 48,721.74 and 20,200.21 is: 27,868.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,315.62 : 48,721.74 = 20,200.21 : x
  2. Step 2: Convert to fraction form
    35,315.62/48,721.74 = 20,200.21/x
  3. Step 3: Cross multiply
    35,315.62x = 48,721.74 × 20,200.21
  4. Step 4: Simplify right side
    35,315.62x = 984,189,379.57
  5. Step 5: Solve for x
    x = 984,189,379.57/35,315.62
  6. Step 6: Final answer
    x = 27,868.39

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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.