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Finding the Fourth Proportional to 57,076.72, 85,578.63 and 27,435.58

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Solution

The fourth proportional to 57,076.72, 85,578.63 and 27,435.58 is: 41,135.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,076.72 : 85,578.63 = 27,435.58 : x
  2. Step 2: Convert to fraction form
    57,076.72/85,578.63 = 27,435.58/x
  3. Step 3: Cross multiply
    57,076.72x = 85,578.63 × 27,435.58
  4. Step 4: Simplify right side
    57,076.72x = 2,347,899,349.66
  5. Step 5: Solve for x
    x = 2,347,899,349.66/57,076.72
  6. Step 6: Final answer
    x = 41,135.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.