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Finding the Fourth Proportional to 52,726.90, 79,067.31 and 15,782.26

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Solution

The fourth proportional to 52,726.90, 79,067.31 and 15,782.26 is: 23,666.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,726.90 : 79,067.31 = 15,782.26 : x
  2. Step 2: Convert to fraction form
    52,726.90/79,067.31 = 15,782.26/x
  3. Step 3: Cross multiply
    52,726.90x = 79,067.31 × 15,782.26
  4. Step 4: Simplify right side
    52,726.90x = 1,247,860,843.92
  5. Step 5: Solve for x
    x = 1,247,860,843.92/52,726.90
  6. Step 6: Final answer
    x = 23,666.49

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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.