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Finding the Fourth Proportional to 61,833.42, 85,399.65 and 41,654.97

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Solution

The fourth proportional to 61,833.42, 85,399.65 and 41,654.97 is: 57,530.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,833.42 : 85,399.65 = 41,654.97 : x
  2. Step 2: Convert to fraction form
    61,833.42/85,399.65 = 41,654.97/x
  3. Step 3: Cross multiply
    61,833.42x = 85,399.65 × 41,654.97
  4. Step 4: Simplify right side
    61,833.42x = 3,557,319,858.76
  5. Step 5: Solve for x
    x = 3,557,319,858.76/61,833.42
  6. Step 6: Final answer
    x = 57,530.70

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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.