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Finding the Fourth Proportional to 36,973, 51,023.10 and 20,206

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Solution

The fourth proportional to 36,973, 51,023.10 and 20,206 is: 27,884.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,973 : 51,023.10 = 20,206 : x
  2. Step 2: Convert to fraction form
    36,973/51,023.10 = 20,206/x
  3. Step 3: Cross multiply
    36,973x = 51,023.10 × 20,206
  4. Step 4: Simplify right side
    36,973x = 1,030,972,758.60
  5. Step 5: Solve for x
    x = 1,030,972,758.60/36,973
  6. Step 6: Final answer
    x = 27,884.48

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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.