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Finding the Fourth Proportional to 100,123.02, 150,207.03 and 33,561.45

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Solution

The fourth proportional to 100,123.02, 150,207.03 and 33,561.45 is: 50,349.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,123.02 : 150,207.03 = 33,561.45 : x
  2. Step 2: Convert to fraction form
    100,123.02/150,207.03 = 33,561.45/x
  3. Step 3: Cross multiply
    100,123.02x = 150,207.03 × 33,561.45
  4. Step 4: Simplify right side
    100,123.02x = 5,041,164,808.15
  5. Step 5: Solve for x
    x = 5,041,164,808.15/100,123.02
  6. Step 6: Final answer
    x = 50,349.71

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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.