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Finding the Fourth Proportional to 100,210, 150,324.96 and 37,046.68

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Solution

The fourth proportional to 100,210, 150,324.96 and 37,046.68 is: 55,573.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,210 : 150,324.96 = 37,046.68 : x
  2. Step 2: Convert to fraction form
    100,210/150,324.96 = 37,046.68/x
  3. Step 3: Cross multiply
    100,210x = 150,324.96 × 37,046.68
  4. Step 4: Simplify right side
    100,210x = 5,569,040,689.13
  5. Step 5: Solve for x
    x = 5,569,040,689.13/100,210
  6. Step 6: Final answer
    x = 55,573.70

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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.