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Finding the Fourth Proportional to 61,676.54, 85,113.72 and 33,382.16

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Solution

The fourth proportional to 61,676.54, 85,113.72 and 33,382.16 is: 46,067.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,676.54 : 85,113.72 = 33,382.16 : x
  2. Step 2: Convert to fraction form
    61,676.54/85,113.72 = 33,382.16/x
  3. Step 3: Cross multiply
    61,676.54x = 85,113.72 × 33,382.16
  4. Step 4: Simplify right side
    61,676.54x = 2,841,279,819.24
  5. Step 5: Solve for x
    x = 2,841,279,819.24/61,676.54
  6. Step 6: Final answer
    x = 46,067.43

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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.