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Finding the Fourth Proportional to 52,092.96, 78,035.22 and 23,974.49

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Solution

The fourth proportional to 52,092.96, 78,035.22 and 23,974.49 is: 35,913.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,092.96 : 78,035.22 = 23,974.49 : x
  2. Step 2: Convert to fraction form
    52,092.96/78,035.22 = 23,974.49/x
  3. Step 3: Cross multiply
    52,092.96x = 78,035.22 × 23,974.49
  4. Step 4: Simplify right side
    52,092.96x = 1,870,854,211.36
  5. Step 5: Solve for x
    x = 1,870,854,211.36/52,092.96
  6. Step 6: Final answer
    x = 35,913.76

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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.