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Finding the Fourth Proportional to 40,102, 55,339.96 and 22,197

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Solution

The fourth proportional to 40,102, 55,339.96 and 22,197 is: 30,631.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,102 : 55,339.96 = 22,197 : x
  2. Step 2: Convert to fraction form
    40,102/55,339.96 = 22,197/x
  3. Step 3: Cross multiply
    40,102x = 55,339.96 × 22,197
  4. Step 4: Simplify right side
    40,102x = 1,228,381,092.12
  5. Step 5: Solve for x
    x = 1,228,381,092.12/40,102
  6. Step 6: Final answer
    x = 30,631.42

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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.