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Finding the Fourth Proportional to 52,180, 78,270.08 and 15,244

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Solution

The fourth proportional to 52,180, 78,270.08 and 15,244 is: 22,866.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,180 : 78,270.08 = 15,244 : x
  2. Step 2: Convert to fraction form
    52,180/78,270.08 = 15,244/x
  3. Step 3: Cross multiply
    52,180x = 78,270.08 × 15,244
  4. Step 4: Simplify right side
    52,180x = 1,193,149,099.52
  5. Step 5: Solve for x
    x = 1,193,149,099.52/52,180
  6. Step 6: Final answer
    x = 22,866.02

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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.