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Finding the Fourth Proportional to 61,843.36, 92,782.32 and 24,380.32

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Solution

The fourth proportional to 61,843.36, 92,782.32 and 24,380.32 is: 36,577.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,843.36 : 92,782.32 = 24,380.32 : x
  2. Step 2: Convert to fraction form
    61,843.36/92,782.32 = 24,380.32/x
  3. Step 3: Cross multiply
    61,843.36x = 92,782.32 × 24,380.32
  4. Step 4: Simplify right side
    61,843.36x = 2,262,062,651.94
  5. Step 5: Solve for x
    x = 2,262,062,651.94/61,843.36
  6. Step 6: Final answer
    x = 36,577.29

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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.