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Finding the Fourth Proportional to 38,873.80, 53,650.02 and 22,105

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Solution

The fourth proportional to 38,873.80, 53,650.02 and 22,105 is: 30,507.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,873.80 : 53,650.02 = 22,105 : x
  2. Step 2: Convert to fraction form
    38,873.80/53,650.02 = 22,105/x
  3. Step 3: Cross multiply
    38,873.80x = 53,650.02 × 22,105
  4. Step 4: Simplify right side
    38,873.80x = 1,185,933,692.10
  5. Step 5: Solve for x
    x = 1,185,933,692.10/38,873.80
  6. Step 6: Final answer
    x = 30,507.27

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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.