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Finding the Fourth Proportional to 100,577.50, 150,866.25 and 25,697.81

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Solution

The fourth proportional to 100,577.50, 150,866.25 and 25,697.81 is: 38,546.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,577.50 : 150,866.25 = 25,697.81 : x
  2. Step 2: Convert to fraction form
    100,577.50/150,866.25 = 25,697.81/x
  3. Step 3: Cross multiply
    100,577.50x = 150,866.25 × 25,697.81
  4. Step 4: Simplify right side
    100,577.50x = 3,876,932,227.91
  5. Step 5: Solve for x
    x = 3,876,932,227.91/100,577.50
  6. Step 6: Final answer
    x = 38,546.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.