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Finding the Fourth Proportional to 41,203, 56,860.14 and 22,340.13

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Solution

The fourth proportional to 41,203, 56,860.14 and 22,340.13 is: 30,829.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,203 : 56,860.14 = 22,340.13 : x
  2. Step 2: Convert to fraction form
    41,203/56,860.14 = 22,340.13/x
  3. Step 3: Cross multiply
    41,203x = 56,860.14 × 22,340.13
  4. Step 4: Simplify right side
    41,203x = 1,270,262,919.42
  5. Step 5: Solve for x
    x = 1,270,262,919.42/41,203
  6. Step 6: Final answer
    x = 30,829.38

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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.