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Finding the Fourth Proportional to 36,964, 51,010.68 and 20,197

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Solution

The fourth proportional to 36,964, 51,010.68 and 20,197 is: 27,872.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,964 : 51,010.68 = 20,197 : x
  2. Step 2: Convert to fraction form
    36,964/51,010.68 = 20,197/x
  3. Step 3: Cross multiply
    36,964x = 51,010.68 × 20,197
  4. Step 4: Simplify right side
    36,964x = 1,030,262,703.96
  5. Step 5: Solve for x
    x = 1,030,262,703.96/36,964
  6. Step 6: Final answer
    x = 27,872.06

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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.