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Finding the Fourth Proportional to 100,417.37, 150,640.16 and 29,345.22

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Solution

The fourth proportional to 100,417.37, 150,640.16 and 29,345.22 is: 44,021.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,417.37 : 150,640.16 = 29,345.22 : x
  2. Step 2: Convert to fraction form
    100,417.37/150,640.16 = 29,345.22/x
  3. Step 3: Cross multiply
    100,417.37x = 150,640.16 × 29,345.22
  4. Step 4: Simplify right side
    100,417.37x = 4,420,568,489.31
  5. Step 5: Solve for x
    x = 4,420,568,489.31/100,417.37
  6. Step 6: Final answer
    x = 44,021.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.