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Finding the Fourth Proportional to 36,973.72, 51,023.73 and 20,206.72

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Solution

The fourth proportional to 36,973.72, 51,023.73 and 20,206.72 is: 27,885.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,973.72 : 51,023.73 = 20,206.72 : x
  2. Step 2: Convert to fraction form
    36,973.72/51,023.73 = 20,206.72/x
  3. Step 3: Cross multiply
    36,973.72x = 51,023.73 × 20,206.72
  4. Step 4: Simplify right side
    36,973.72x = 1,031,022,225.47
  5. Step 5: Solve for x
    x = 1,031,022,225.47/36,973.72
  6. Step 6: Final answer
    x = 27,885.27

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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.