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Finding the Fourth Proportional to 100,649.20, 150,973.26 and 25,769.20

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Solution

The fourth proportional to 100,649.20, 150,973.26 and 25,769.20 is: 38,653.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,649.20 : 150,973.26 = 25,769.20 : x
  2. Step 2: Convert to fraction form
    100,649.20/150,973.26 = 25,769.20/x
  3. Step 3: Cross multiply
    100,649.20x = 150,973.26 × 25,769.20
  4. Step 4: Simplify right side
    100,649.20x = 3,890,460,131.59
  5. Step 5: Solve for x
    x = 3,890,460,131.59/100,649.20
  6. Step 6: Final answer
    x = 38,653.66

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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.