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Finding the Fourth Proportional to 61,735.84, 85,195.38 and 33,441.64

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Solution

The fourth proportional to 61,735.84, 85,195.38 and 33,441.64 is: 46,149.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,735.84 : 85,195.38 = 33,441.64 : x
  2. Step 2: Convert to fraction form
    61,735.84/85,195.38 = 33,441.64/x
  3. Step 3: Cross multiply
    61,735.84x = 85,195.38 × 33,441.64
  4. Step 4: Simplify right side
    61,735.84x = 2,849,073,227.62
  5. Step 5: Solve for x
    x = 2,849,073,227.62/61,735.84
  6. Step 6: Final answer
    x = 46,149.42

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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.