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Finding the Fourth Proportional to 36,983.75, 51,037.58 and 20,216.75

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Solution

The fourth proportional to 36,983.75, 51,037.58 and 20,216.75 is: 27,899.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,983.75 : 51,037.58 = 20,216.75 : x
  2. Step 2: Convert to fraction form
    36,983.75/51,037.58 = 20,216.75/x
  3. Step 3: Cross multiply
    36,983.75x = 51,037.58 × 20,216.75
  4. Step 4: Simplify right side
    36,983.75x = 1,031,813,894.38
  5. Step 5: Solve for x
    x = 1,031,813,894.38/36,983.75
  6. Step 6: Final answer
    x = 27,899.12

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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.