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Finding the Fourth Proportional to 100,491.44, 150,756.59 and 53,796.56

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Solution

The fourth proportional to 100,491.44, 150,756.59 and 53,796.56 is: 80,705.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,491.44 : 150,756.59 = 53,796.56 : x
  2. Step 2: Convert to fraction form
    100,491.44/150,756.59 = 53,796.56/x
  3. Step 3: Cross multiply
    100,491.44x = 150,756.59 × 53,796.56
  4. Step 4: Simplify right side
    100,491.44x = 8,110,185,320.04
  5. Step 5: Solve for x
    x = 8,110,185,320.04/100,491.44
  6. Step 6: Final answer
    x = 80,705.24

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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.