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Finding the Fourth Proportional to 56,728.89, 78,286.50 and 31,578.39

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Solution

The fourth proportional to 56,728.89, 78,286.50 and 31,578.39 is: 43,578.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,728.89 : 78,286.50 = 31,578.39 : x
  2. Step 2: Convert to fraction form
    56,728.89/78,286.50 = 31,578.39/x
  3. Step 3: Cross multiply
    56,728.89x = 78,286.50 × 31,578.39
  4. Step 4: Simplify right side
    56,728.89x = 2,472,161,628.74
  5. Step 5: Solve for x
    x = 2,472,161,628.74/56,728.89
  6. Step 6: Final answer
    x = 43,578.53

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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.