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Finding the Fourth Proportional to 36,966.38, 51,013.60 and 20,199.38

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Solution

The fourth proportional to 36,966.38, 51,013.60 and 20,199.38 is: 27,875.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,966.38 : 51,013.60 = 20,199.38 : x
  2. Step 2: Convert to fraction form
    36,966.38/51,013.60 = 20,199.38/x
  3. Step 3: Cross multiply
    36,966.38x = 51,013.60 × 20,199.38
  4. Step 4: Simplify right side
    36,966.38x = 1,030,442,786.00
  5. Step 5: Solve for x
    x = 1,030,442,786.00/36,966.38
  6. Step 6: Final answer
    x = 27,875.14

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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.