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Finding the Fourth Proportional to 100,504, 150,756 and 41,371.84

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Solution

The fourth proportional to 100,504, 150,756 and 41,371.84 is: 62,057.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,504 : 150,756 = 41,371.84 : x
  2. Step 2: Convert to fraction form
    100,504/150,756 = 41,371.84/x
  3. Step 3: Cross multiply
    100,504x = 150,756 × 41,371.84
  4. Step 4: Simplify right side
    100,504x = 6,237,053,111.04
  5. Step 5: Solve for x
    x = 6,237,053,111.04/100,504
  6. Step 6: Final answer
    x = 62,057.76

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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.