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Finding the Fourth Proportional to 52,581.32, 78,910.86 and 19,322

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Solution

The fourth proportional to 52,581.32, 78,910.86 and 19,322 is: 28,997.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,581.32 : 78,910.86 = 19,322 : x
  2. Step 2: Convert to fraction form
    52,581.32/78,910.86 = 19,322/x
  3. Step 3: Cross multiply
    52,581.32x = 78,910.86 × 19,322
  4. Step 4: Simplify right side
    52,581.32x = 1,524,715,636.92
  5. Step 5: Solve for x
    x = 1,524,715,636.92/52,581.32
  6. Step 6: Final answer
    x = 28,997.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.