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Finding the Fourth Proportional to 61,757.82, 85,225.86 and 33,463.53

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Solution

The fourth proportional to 61,757.82, 85,225.86 and 33,463.53 is: 46,179.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,757.82 : 85,225.86 = 33,463.53 : x
  2. Step 2: Convert to fraction form
    61,757.82/85,225.86 = 33,463.53/x
  3. Step 3: Cross multiply
    61,757.82x = 85,225.86 × 33,463.53
  4. Step 4: Simplify right side
    61,757.82x = 2,851,958,122.89
  5. Step 5: Solve for x
    x = 2,851,958,122.89/61,757.82
  6. Step 6: Final answer
    x = 46,179.71

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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.