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Finding the Fourth Proportional to 100,309.91, 150,358.80 and 37,089.43

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Solution

The fourth proportional to 100,309.91, 150,358.80 and 37,089.43 is: 55,594.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,309.91 : 150,358.80 = 37,089.43 : x
  2. Step 2: Convert to fraction form
    100,309.91/150,358.80 = 37,089.43/x
  3. Step 3: Cross multiply
    100,309.91x = 150,358.80 × 37,089.43
  4. Step 4: Simplify right side
    100,309.91x = 5,576,721,811.59
  5. Step 5: Solve for x
    x = 5,576,721,811.59/100,309.91
  6. Step 6: Final answer
    x = 55,594.93

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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.