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Finding the Fourth Proportional to 36,972.88, 51,022.59 and 20,205.88

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Solution

The fourth proportional to 36,972.88, 51,022.59 and 20,205.88 is: 27,884.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,972.88 : 51,022.59 = 20,205.88 : x
  2. Step 2: Convert to fraction form
    36,972.88/51,022.59 = 20,205.88/x
  3. Step 3: Cross multiply
    36,972.88x = 51,022.59 × 20,205.88
  4. Step 4: Simplify right side
    36,972.88x = 1,030,956,075.72
  5. Step 5: Solve for x
    x = 1,030,956,075.72/36,972.88
  6. Step 6: Final answer
    x = 27,884.12

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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.