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Finding the Fourth Proportional to 100,633.59, 150,964.76 and 37,448.33

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Solution

The fourth proportional to 100,633.59, 150,964.76 and 37,448.33 is: 56,177.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,633.59 : 150,964.76 = 37,448.33 : x
  2. Step 2: Convert to fraction form
    100,633.59/150,964.76 = 37,448.33/x
  3. Step 3: Cross multiply
    100,633.59x = 150,964.76 × 37,448.33
  4. Step 4: Simplify right side
    100,633.59x = 5,653,377,489.65
  5. Step 5: Solve for x
    x = 5,653,377,489.65/100,633.59
  6. Step 6: Final answer
    x = 56,177.84

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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.