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Finding the Fourth Proportional to 36,964, 51,010.32 and 20,197.12

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Solution

The fourth proportional to 36,964, 51,010.32 and 20,197.12 is: 27,872.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,964 : 51,010.32 = 20,197.12 : x
  2. Step 2: Convert to fraction form
    36,964/51,010.32 = 20,197.12/x
  3. Step 3: Cross multiply
    36,964x = 51,010.32 × 20,197.12
  4. Step 4: Simplify right side
    36,964x = 1,030,261,554.28
  5. Step 5: Solve for x
    x = 1,030,261,554.28/36,964
  6. Step 6: Final answer
    x = 27,872.03

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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.