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Finding the Fourth Proportional to 100,577.08, 150,865.64 and 25,694.64

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Solution

The fourth proportional to 100,577.08, 150,865.64 and 25,694.64 is: 38,541.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,577.08 : 150,865.64 = 25,694.64 : x
  2. Step 2: Convert to fraction form
    100,577.08/150,865.64 = 25,694.64/x
  3. Step 3: Cross multiply
    100,577.08x = 150,865.64 × 25,694.64
  4. Step 4: Simplify right side
    100,577.08x = 3,876,438,308.17
  5. Step 5: Solve for x
    x = 3,876,438,308.17/100,577.08
  6. Step 6: Final answer
    x = 38,541.97

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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.