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Finding the Fourth Proportional to 56,982.87, 85,493.34 and 35,898.57

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Solution

The fourth proportional to 56,982.87, 85,493.34 and 35,898.57 is: 53,859.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,982.87 : 85,493.34 = 35,898.57 : x
  2. Step 2: Convert to fraction form
    56,982.87/85,493.34 = 35,898.57/x
  3. Step 3: Cross multiply
    56,982.87x = 85,493.34 × 35,898.57
  4. Step 4: Simplify right side
    56,982.87x = 3,069,088,650.52
  5. Step 5: Solve for x
    x = 3,069,088,650.52/56,982.87
  6. Step 6: Final answer
    x = 53,859.85

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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.