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Finding the Fourth Proportional to 61,932.60, 85,467.06 and 33,638.22

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Solution

The fourth proportional to 61,932.60, 85,467.06 and 33,638.22 is: 46,420.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,932.60 : 85,467.06 = 33,638.22 : x
  2. Step 2: Convert to fraction form
    61,932.60/85,467.06 = 33,638.22/x
  3. Step 3: Cross multiply
    61,932.60x = 85,467.06 × 33,638.22
  4. Step 4: Simplify right side
    61,932.60x = 2,874,959,767.03
  5. Step 5: Solve for x
    x = 2,874,959,767.03/61,932.60
  6. Step 6: Final answer
    x = 46,420.78

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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.