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Finding the Fourth Proportional to 61,311.96, 84,610.42 and 35,835.84

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Solution

The fourth proportional to 61,311.96, 84,610.42 and 35,835.84 is: 49,453.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,311.96 : 84,610.42 = 35,835.84 : x
  2. Step 2: Convert to fraction form
    61,311.96/84,610.42 = 35,835.84/x
  3. Step 3: Cross multiply
    61,311.96x = 84,610.42 × 35,835.84
  4. Step 4: Simplify right side
    61,311.96x = 3,032,085,473.45
  5. Step 5: Solve for x
    x = 3,032,085,473.45/61,311.96
  6. Step 6: Final answer
    x = 49,453.41

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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.