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Finding the Fourth Proportional to 56,658.87, 84,949.97 and 31,716.14

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Solution

The fourth proportional to 56,658.87, 84,949.97 and 31,716.14 is: 47,552.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,658.87 : 84,949.97 = 31,716.14 : x
  2. Step 2: Convert to fraction form
    56,658.87/84,949.97 = 31,716.14/x
  3. Step 3: Cross multiply
    56,658.87x = 84,949.97 × 31,716.14
  4. Step 4: Simplify right side
    56,658.87x = 2,694,284,558.19
  5. Step 5: Solve for x
    x = 2,694,284,558.19/56,658.87
  6. Step 6: Final answer
    x = 47,552.74

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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.