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Finding the Fourth Proportional to 33,292.98, 49,879.28 and 20,807

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Solution

The fourth proportional to 33,292.98, 49,879.28 and 20,807 is: 31,172.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,292.98 : 49,879.28 = 20,807 : x
  2. Step 2: Convert to fraction form
    33,292.98/49,879.28 = 20,807/x
  3. Step 3: Cross multiply
    33,292.98x = 49,879.28 × 20,807
  4. Step 4: Simplify right side
    33,292.98x = 1,037,838,178.96
  5. Step 5: Solve for x
    x = 1,037,838,178.96/33,292.98
  6. Step 6: Final answer
    x = 31,172.88

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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.