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Finding the Fourth Proportional to 29,843.92, 41,183.78 and 16,415.16

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Solution

The fourth proportional to 29,843.92, 41,183.78 and 16,415.16 is: 22,652.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,843.92 : 41,183.78 = 16,415.16 : x
  2. Step 2: Convert to fraction form
    29,843.92/41,183.78 = 16,415.16/x
  3. Step 3: Cross multiply
    29,843.92x = 41,183.78 × 16,415.16
  4. Step 4: Simplify right side
    29,843.92x = 676,038,338.10
  5. Step 5: Solve for x
    x = 676,038,338.10/29,843.92
  6. Step 6: Final answer
    x = 22,652.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.