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Finding the Fourth Proportional to 45,212, 67,821.69 and 22,711.11

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Solution

The fourth proportional to 45,212, 67,821.69 and 22,711.11 is: 34,068.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,212 : 67,821.69 = 22,711.11 : x
  2. Step 2: Convert to fraction form
    45,212/67,821.69 = 22,711.11/x
  3. Step 3: Cross multiply
    45,212x = 67,821.69 × 22,711.11
  4. Step 4: Simplify right side
    45,212x = 1,540,305,522.87
  5. Step 5: Solve for x
    x = 1,540,305,522.87/45,212
  6. Step 6: Final answer
    x = 34,068.51

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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.