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Finding the Fourth Proportional to 30,371.82, 41,911.77 and 22,411.14

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Solution

The fourth proportional to 30,371.82, 41,911.77 and 22,411.14 is: 30,926.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,371.82 : 41,911.77 = 22,411.14 : x
  2. Step 2: Convert to fraction form
    30,371.82/41,911.77 = 22,411.14/x
  3. Step 3: Cross multiply
    30,371.82x = 41,911.77 × 22,411.14
  4. Step 4: Simplify right side
    30,371.82x = 939,290,545.12
  5. Step 5: Solve for x
    x = 939,290,545.12/30,371.82
  6. Step 6: Final answer
    x = 30,926.38

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1.5x scale

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.