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Finding the Fourth Proportional to 78,418.69, 117,561.91 and 34,012

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Solution

The fourth proportional to 78,418.69, 117,561.91 and 34,012 is: 50,989.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,418.69 : 117,561.91 = 34,012 : x
  2. Step 2: Convert to fraction form
    78,418.69/117,561.91 = 34,012/x
  3. Step 3: Cross multiply
    78,418.69x = 117,561.91 × 34,012
  4. Step 4: Simplify right side
    78,418.69x = 3,998,515,682.92
  5. Step 5: Solve for x
    x = 3,998,515,682.92/78,418.69
  6. Step 6: Final answer
    x = 50,989.32

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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.