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Finding the Fourth Proportional to 37,084.85, 51,177.15 and 20,089.13

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Solution

The fourth proportional to 37,084.85, 51,177.15 and 20,089.13 is: 27,723.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,084.85 : 51,177.15 = 20,089.13 : x
  2. Step 2: Convert to fraction form
    37,084.85/51,177.15 = 20,089.13/x
  3. Step 3: Cross multiply
    37,084.85x = 51,177.15 × 20,089.13
  4. Step 4: Simplify right side
    37,084.85x = 1,028,104,419.38
  5. Step 5: Solve for x
    x = 1,028,104,419.38/37,084.85
  6. Step 6: Final answer
    x = 27,723.03

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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.