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Finding the Fourth Proportional to 75,219.50, 112,836.74 and 27,847.26

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Solution

The fourth proportional to 75,219.50, 112,836.74 and 27,847.26 is: 41,773.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,219.50 : 112,836.74 = 27,847.26 : x
  2. Step 2: Convert to fraction form
    75,219.50/112,836.74 = 27,847.26/x
  3. Step 3: Cross multiply
    75,219.50x = 112,836.74 × 27,847.26
  4. Step 4: Simplify right side
    75,219.50x = 3,142,193,897.10
  5. Step 5: Solve for x
    x = 3,142,193,897.10/75,219.50
  6. Step 6: Final answer
    x = 41,773.66

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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.