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Finding the Fourth Proportional to 37,020.20, 51,087.46 and 20,253

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Solution

The fourth proportional to 37,020.20, 51,087.46 and 20,253 is: 27,948.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,020.20 : 51,087.46 = 20,253 : x
  2. Step 2: Convert to fraction form
    37,020.20/51,087.46 = 20,253/x
  3. Step 3: Cross multiply
    37,020.20x = 51,087.46 × 20,253
  4. Step 4: Simplify right side
    37,020.20x = 1,034,674,327.38
  5. Step 5: Solve for x
    x = 1,034,674,327.38/37,020.20
  6. Step 6: Final answer
    x = 27,948.91

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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.