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Finding the Fourth Proportional to 57,293.40, 85,961.70 and 27,737.40

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Solution

The fourth proportional to 57,293.40, 85,961.70 and 27,737.40 is: 41,616.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,293.40 : 85,961.70 = 27,737.40 : x
  2. Step 2: Convert to fraction form
    57,293.40/85,961.70 = 27,737.40/x
  3. Step 3: Cross multiply
    57,293.40x = 85,961.70 × 27,737.40
  4. Step 4: Simplify right side
    57,293.40x = 2,384,354,057.58
  5. Step 5: Solve for x
    x = 2,384,354,057.58/57,293.40
  6. Step 6: Final answer
    x = 41,616.56

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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.