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Finding the Fourth Proportional to 52,194.30, 78,298.65 and 18,906.30

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Solution

The fourth proportional to 52,194.30, 78,298.65 and 18,906.30 is: 28,362.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,194.30 : 78,298.65 = 18,906.30 : x
  2. Step 2: Convert to fraction form
    52,194.30/78,298.65 = 18,906.30/x
  3. Step 3: Cross multiply
    52,194.30x = 78,298.65 × 18,906.30
  4. Step 4: Simplify right side
    52,194.30x = 1,480,337,766.50
  5. Step 5: Solve for x
    x = 1,480,337,766.50/52,194.30
  6. Step 6: Final answer
    x = 28,362.06

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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.