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Finding the Fourth Proportional to 52,164.75, 78,262.25 and 15,228.75

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Solution

The fourth proportional to 52,164.75, 78,262.25 and 15,228.75 is: 22,847.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,164.75 : 78,262.25 = 15,228.75 : x
  2. Step 2: Convert to fraction form
    52,164.75/78,262.25 = 15,228.75/x
  3. Step 3: Cross multiply
    52,164.75x = 78,262.25 × 15,228.75
  4. Step 4: Simplify right side
    52,164.75x = 1,191,836,163.54
  5. Step 5: Solve for x
    x = 1,191,836,163.54/52,164.75
  6. Step 6: Final answer
    x = 22,847.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.