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Finding the Fourth Proportional to 36,973.88, 51,023.97 and 20,206.88

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Solution

The fourth proportional to 36,973.88, 51,023.97 and 20,206.88 is: 27,885.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,973.88 : 51,023.97 = 20,206.88 : x
  2. Step 2: Convert to fraction form
    36,973.88/51,023.97 = 20,206.88/x
  3. Step 3: Cross multiply
    36,973.88x = 51,023.97 × 20,206.88
  4. Step 4: Simplify right side
    36,973.88x = 1,031,035,238.91
  5. Step 5: Solve for x
    x = 1,031,035,238.91/36,973.88
  6. Step 6: Final answer
    x = 27,885.50

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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.