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Finding the Fourth Proportional to 61,748.43, 85,212.92 and 33,454.12

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Solution

The fourth proportional to 61,748.43, 85,212.92 and 33,454.12 is: 46,166.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,748.43 : 85,212.92 = 33,454.12 : x
  2. Step 2: Convert to fraction form
    61,748.43/85,212.92 = 33,454.12/x
  3. Step 3: Cross multiply
    61,748.43x = 85,212.92 × 33,454.12
  4. Step 4: Simplify right side
    61,748.43x = 2,850,723,441.38
  5. Step 5: Solve for x
    x = 2,850,723,441.38/61,748.43
  6. Step 6: Final answer
    x = 46,166.73

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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.