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Finding the Fourth Proportional to 72,175.66, 108,250.72 and 19,589.24

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Solution

The fourth proportional to 72,175.66, 108,250.72 and 19,589.24 is: 29,380.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,175.66 : 108,250.72 = 19,589.24 : x
  2. Step 2: Convert to fraction form
    72,175.66/108,250.72 = 19,589.24/x
  3. Step 3: Cross multiply
    72,175.66x = 108,250.72 × 19,589.24
  4. Step 4: Simplify right side
    72,175.66x = 2,120,549,334.25
  5. Step 5: Solve for x
    x = 2,120,549,334.25/72,175.66
  6. Step 6: Final answer
    x = 29,380.39

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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.