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Finding the Fourth Proportional to 100,096.34, 150,122.64 and 33,545.94

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Solution

The fourth proportional to 100,096.34, 150,122.64 and 33,545.94 is: 50,311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,096.34 : 150,122.64 = 33,545.94 : x
  2. Step 2: Convert to fraction form
    100,096.34/150,122.64 = 33,545.94/x
  3. Step 3: Cross multiply
    100,096.34x = 150,122.64 × 33,545.94
  4. Step 4: Simplify right side
    100,096.34x = 5,036,005,074.08
  5. Step 5: Solve for x
    x = 5,036,005,074.08/100,096.34
  6. Step 6: Final answer
    x = 50,311.58

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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.