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Finding the Fourth Proportional to 56,814.87, 78,410.07 and 42,449.78

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Solution

The fourth proportional to 56,814.87, 78,410.07 and 42,449.78 is: 58,584.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,814.87 : 78,410.07 = 42,449.78 : x
  2. Step 2: Convert to fraction form
    56,814.87/78,410.07 = 42,449.78/x
  3. Step 3: Cross multiply
    56,814.87x = 78,410.07 × 42,449.78
  4. Step 4: Simplify right side
    56,814.87x = 3,328,489,976.25
  5. Step 5: Solve for x
    x = 3,328,489,976.25/56,814.87
  6. Step 6: Final answer
    x = 58,584.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.