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Finding the Fourth Proportional to 100,580.42, 150,889.08 and 33,116.30

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Solution

The fourth proportional to 100,580.42, 150,889.08 and 33,116.30 is: 49,680.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,580.42 : 150,889.08 = 33,116.30 : x
  2. Step 2: Convert to fraction form
    100,580.42/150,889.08 = 33,116.30/x
  3. Step 3: Cross multiply
    100,580.42x = 150,889.08 × 33,116.30
  4. Step 4: Simplify right side
    100,580.42x = 4,996,888,040.00
  5. Step 5: Solve for x
    x = 4,996,888,040.00/100,580.42
  6. Step 6: Final answer
    x = 49,680.52

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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.