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Finding the Fourth Proportional to 36,973.50, 51,023.46 and 20,206.50

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Solution

The fourth proportional to 36,973.50, 51,023.46 and 20,206.50 is: 27,884.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,973.50 : 51,023.46 = 20,206.50 : x
  2. Step 2: Convert to fraction form
    36,973.50/51,023.46 = 20,206.50/x
  3. Step 3: Cross multiply
    36,973.50x = 51,023.46 × 20,206.50
  4. Step 4: Simplify right side
    36,973.50x = 1,031,005,544.49
  5. Step 5: Solve for x
    x = 1,031,005,544.49/36,973.50
  6. Step 6: Final answer
    x = 27,884.99

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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.