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Finding the Fourth Proportional to 100,459.40, 150,584.30 and 33,876.64

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Solution

The fourth proportional to 100,459.40, 150,584.30 and 33,876.64 is: 50,779.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,459.40 : 150,584.30 = 33,876.64 : x
  2. Step 2: Convert to fraction form
    100,459.40/150,584.30 = 33,876.64/x
  3. Step 3: Cross multiply
    100,459.40x = 150,584.30 × 33,876.64
  4. Step 4: Simplify right side
    100,459.40x = 5,101,290,120.75
  5. Step 5: Solve for x
    x = 5,101,290,120.75/100,459.40
  6. Step 6: Final answer
    x = 50,779.62

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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.