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Finding the Fourth Proportional to 100,202.90, 150,311.63 and 33,642.47

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Solution

The fourth proportional to 100,202.90, 150,311.63 and 33,642.47 is: 50,466.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,202.90 : 150,311.63 = 33,642.47 : x
  2. Step 2: Convert to fraction form
    100,202.90/150,311.63 = 33,642.47/x
  3. Step 3: Cross multiply
    100,202.90x = 150,311.63 × 33,642.47
  4. Step 4: Simplify right side
    100,202.90x = 5,056,854,962.81
  5. Step 5: Solve for x
    x = 5,056,854,962.81/100,202.90
  6. Step 6: Final answer
    x = 50,466.16

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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.