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Finding the Fourth Proportional to 37,013, 51,077.94 and 20,246

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Solution

The fourth proportional to 37,013, 51,077.94 and 20,246 is: 27,939.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,013 : 51,077.94 = 20,246 : x
  2. Step 2: Convert to fraction form
    37,013/51,077.94 = 20,246/x
  3. Step 3: Cross multiply
    37,013x = 51,077.94 × 20,246
  4. Step 4: Simplify right side
    37,013x = 1,034,123,973.24
  5. Step 5: Solve for x
    x = 1,034,123,973.24/37,013
  6. Step 6: Final answer
    x = 27,939.48

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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.