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Finding the Fourth Proportional to 52,078.50, 78,131.07 and 15,142.50

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Solution

The fourth proportional to 52,078.50, 78,131.07 and 15,142.50 is: 22,717.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,078.50 : 78,131.07 = 15,142.50 : x
  2. Step 2: Convert to fraction form
    52,078.50/78,131.07 = 15,142.50/x
  3. Step 3: Cross multiply
    52,078.50x = 78,131.07 × 15,142.50
  4. Step 4: Simplify right side
    52,078.50x = 1,183,099,727.48
  5. Step 5: Solve for x
    x = 1,183,099,727.48/52,078.50
  6. Step 6: Final answer
    x = 22,717.62

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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.