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Finding the Fourth Proportional to 36,964, 51,010.80 and 20,197.36

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Solution

The fourth proportional to 36,964, 51,010.80 and 20,197.36 is: 27,872.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,964 : 51,010.80 = 20,197.36 : x
  2. Step 2: Convert to fraction form
    36,964/51,010.80 = 20,197.36/x
  3. Step 3: Cross multiply
    36,964x = 51,010.80 × 20,197.36
  4. Step 4: Simplify right side
    36,964x = 1,030,283,491.49
  5. Step 5: Solve for x
    x = 1,030,283,491.49/36,964
  6. Step 6: Final answer
    x = 27,872.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.