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Finding the Fourth Proportional to 52,208.50, 78,295.19 and 18,921.59

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Solution

The fourth proportional to 52,208.50, 78,295.19 and 18,921.59 is: 28,376.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,208.50 : 78,295.19 = 18,921.59 : x
  2. Step 2: Convert to fraction form
    52,208.50/78,295.19 = 18,921.59/x
  3. Step 3: Cross multiply
    52,208.50x = 78,295.19 × 18,921.59
  4. Step 4: Simplify right side
    52,208.50x = 1,481,469,389.54
  5. Step 5: Solve for x
    x = 1,481,469,389.54/52,208.50
  6. Step 6: Final answer
    x = 28,376.02

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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.