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Finding the Fourth Proportional to 47,183, 70,785.44 and 16,018.25

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Solution

The fourth proportional to 47,183, 70,785.44 and 16,018.25 is: 24,031.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,183 : 70,785.44 = 16,018.25 : x
  2. Step 2: Convert to fraction form
    47,183/70,785.44 = 16,018.25/x
  3. Step 3: Cross multiply
    47,183x = 70,785.44 × 16,018.25
  4. Step 4: Simplify right side
    47,183x = 1,133,858,794.19
  5. Step 5: Solve for x
    x = 1,133,858,794.19/47,183
  6. Step 6: Final answer
    x = 24,031.09

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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.