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Finding the Fourth Proportional to 52,083.50, 78,081.44 and 42,198.26

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Solution

The fourth proportional to 52,083.50, 78,081.44 and 42,198.26 is: 63,261.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,083.50 : 78,081.44 = 42,198.26 : x
  2. Step 2: Convert to fraction form
    52,083.50/78,081.44 = 42,198.26/x
  3. Step 3: Cross multiply
    52,083.50x = 78,081.44 × 42,198.26
  4. Step 4: Simplify right side
    52,083.50x = 3,294,900,906.29
  5. Step 5: Solve for x
    x = 3,294,900,906.29/52,083.50
  6. Step 6: Final answer
    x = 63,261.89

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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.