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Finding the Fourth Proportional to 52,578.49, 72,564.69 and 29,923

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Solution

The fourth proportional to 52,578.49, 72,564.69 and 29,923 is: 41,297.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,578.49 : 72,564.69 = 29,923 : x
  2. Step 2: Convert to fraction form
    52,578.49/72,564.69 = 29,923/x
  3. Step 3: Cross multiply
    52,578.49x = 72,564.69 × 29,923
  4. Step 4: Simplify right side
    52,578.49x = 2,171,353,218.87
  5. Step 5: Solve for x
    x = 2,171,353,218.87/52,578.49
  6. Step 6: Final answer
    x = 41,297.37

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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.