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Finding the Fourth Proportional to 52,578.72, 72,517.68 and 31,353.48

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Solution

The fourth proportional to 52,578.72, 72,517.68 and 31,353.48 is: 43,243.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,578.72 : 72,517.68 = 31,353.48 : x
  2. Step 2: Convert to fraction form
    52,578.72/72,517.68 = 31,353.48/x
  3. Step 3: Cross multiply
    52,578.72x = 72,517.68 × 31,353.48
  4. Step 4: Simplify right side
    52,578.72x = 2,273,681,629.53
  5. Step 5: Solve for x
    x = 2,273,681,629.53/52,578.72
  6. Step 6: Final answer
    x = 43,243.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.