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Finding the Fourth Proportional to 100,093.46, 150,184.13 and 37,749.38

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Solution

The fourth proportional to 100,093.46, 150,184.13 and 37,749.38 is: 56,640.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,093.46 : 150,184.13 = 37,749.38 : x
  2. Step 2: Convert to fraction form
    100,093.46/150,184.13 = 37,749.38/x
  3. Step 3: Cross multiply
    100,093.46x = 150,184.13 × 37,749.38
  4. Step 4: Simplify right side
    100,093.46x = 5,669,356,853.67
  5. Step 5: Solve for x
    x = 5,669,356,853.67/100,093.46
  6. Step 6: Final answer
    x = 56,640.64

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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.