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Finding the Fourth Proportional to 54,711.50, 82,099.52 and 23,119.52

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Solution

The fourth proportional to 54,711.50, 82,099.52 and 23,119.52 is: 34,692.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,711.50 : 82,099.52 = 23,119.52 : x
  2. Step 2: Convert to fraction form
    54,711.50/82,099.52 = 23,119.52/x
  3. Step 3: Cross multiply
    54,711.50x = 82,099.52 × 23,119.52
  4. Step 4: Simplify right side
    54,711.50x = 1,898,101,379.03
  5. Step 5: Solve for x
    x = 1,898,101,379.03/54,711.50
  6. Step 6: Final answer
    x = 34,692.91

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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.