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Finding the Fourth Proportional to 41,510, 62,212.64 and 22,534

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Solution

The fourth proportional to 41,510, 62,212.64 and 22,534 is: 33,772.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,510 : 62,212.64 = 22,534 : x
  2. Step 2: Convert to fraction form
    41,510/62,212.64 = 22,534/x
  3. Step 3: Cross multiply
    41,510x = 62,212.64 × 22,534
  4. Step 4: Simplify right side
    41,510x = 1,401,899,629.76
  5. Step 5: Solve for x
    x = 1,401,899,629.76/41,510
  6. Step 6: Final answer
    x = 33,772.58

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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.