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Finding the Fourth Proportional to 100,497.93, 150,727.41 and 30,360.84

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Solution

The fourth proportional to 100,497.93, 150,727.41 and 30,360.84 is: 45,535.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,497.93 : 150,727.41 = 30,360.84 : x
  2. Step 2: Convert to fraction form
    100,497.93/150,727.41 = 30,360.84/x
  3. Step 3: Cross multiply
    100,497.93x = 150,727.41 × 30,360.84
  4. Step 4: Simplify right side
    100,497.93x = 4,576,210,778.62
  5. Step 5: Solve for x
    x = 4,576,210,778.62/100,497.93
  6. Step 6: Final answer
    x = 45,535.37

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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.