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Finding the Fourth Proportional to 33,076.74, 49,835.75 and 29,917.83

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Solution

The fourth proportional to 33,076.74, 49,835.75 and 29,917.83 is: 45,076.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,076.74 : 49,835.75 = 29,917.83 : x
  2. Step 2: Convert to fraction form
    33,076.74/49,835.75 = 29,917.83/x
  3. Step 3: Cross multiply
    33,076.74x = 49,835.75 × 29,917.83
  4. Step 4: Simplify right side
    33,076.74x = 1,490,977,496.42
  5. Step 5: Solve for x
    x = 1,490,977,496.42/33,076.74
  6. Step 6: Final answer
    x = 45,076.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.