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Finding the Fourth Proportional to 29,785.64, 41,076.74 and 20,239.82

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Solution

The fourth proportional to 29,785.64, 41,076.74 and 20,239.82 is: 27,912.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,785.64 : 41,076.74 = 20,239.82 : x
  2. Step 2: Convert to fraction form
    29,785.64/41,076.74 = 20,239.82/x
  3. Step 3: Cross multiply
    29,785.64x = 41,076.74 × 20,239.82
  4. Step 4: Simplify right side
    29,785.64x = 831,385,823.79
  5. Step 5: Solve for x
    x = 831,385,823.79/29,785.64
  6. Step 6: Final answer
    x = 27,912.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.