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Finding the Fourth Proportional to 69,816.69, 96,344.17 and 37,985.60

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Solution

The fourth proportional to 69,816.69, 96,344.17 and 37,985.60 is: 52,418.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,816.69 : 96,344.17 = 37,985.60 : x
  2. Step 2: Convert to fraction form
    69,816.69/96,344.17 = 37,985.60/x
  3. Step 3: Cross multiply
    69,816.69x = 96,344.17 × 37,985.60
  4. Step 4: Simplify right side
    69,816.69x = 3,659,691,249.85
  5. Step 5: Solve for x
    x = 3,659,691,249.85/69,816.69
  6. Step 6: Final answer
    x = 52,418.57

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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.