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Finding the Fourth Proportional to 100,152.71, 150,224.49 and 33,587.72

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Solution

The fourth proportional to 100,152.71, 150,224.49 and 33,587.72 is: 50,380.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,152.71 : 150,224.49 = 33,587.72 : x
  2. Step 2: Convert to fraction form
    100,152.71/150,224.49 = 33,587.72/x
  3. Step 3: Cross multiply
    100,152.71x = 150,224.49 × 33,587.72
  4. Step 4: Simplify right side
    100,152.71x = 5,045,697,356.14
  5. Step 5: Solve for x
    x = 5,045,697,356.14/100,152.71
  6. Step 6: Final answer
    x = 50,380.04

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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.