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Finding the Fourth Proportional to 46,221.90, 69,310.89 and 22,821

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Solution

The fourth proportional to 46,221.90, 69,310.89 and 22,821 is: 34,220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,221.90 : 69,310.89 = 22,821 : x
  2. Step 2: Convert to fraction form
    46,221.90/69,310.89 = 22,821/x
  3. Step 3: Cross multiply
    46,221.90x = 69,310.89 × 22,821
  4. Step 4: Simplify right side
    46,221.90x = 1,581,743,820.69
  5. Step 5: Solve for x
    x = 1,581,743,820.69/46,221.90
  6. Step 6: Final answer
    x = 34,220.66

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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.