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Finding the Fourth Proportional to 36,966.16, 51,013.14 and 20,199.16

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Solution

The fourth proportional to 36,966.16, 51,013.14 and 20,199.16 is: 27,874.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,966.16 : 51,013.14 = 20,199.16 : x
  2. Step 2: Convert to fraction form
    36,966.16/51,013.14 = 20,199.16/x
  3. Step 3: Cross multiply
    36,966.16x = 51,013.14 × 20,199.16
  4. Step 4: Simplify right side
    36,966.16x = 1,030,422,576.96
  5. Step 5: Solve for x
    x = 1,030,422,576.96/36,966.16
  6. Step 6: Final answer
    x = 27,874.75

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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.