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Finding the Fourth Proportional to 52,098.50, 78,188.75 and 26,796.98

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Solution

The fourth proportional to 52,098.50, 78,188.75 and 26,796.98 is: 40,216.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,098.50 : 78,188.75 = 26,796.98 : x
  2. Step 2: Convert to fraction form
    52,098.50/78,188.75 = 26,796.98/x
  3. Step 3: Cross multiply
    52,098.50x = 78,188.75 × 26,796.98
  4. Step 4: Simplify right side
    52,098.50x = 2,095,222,369.98
  5. Step 5: Solve for x
    x = 2,095,222,369.98/52,098.50
  6. Step 6: Final answer
    x = 40,216.56

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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.