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Finding the Fourth Proportional to 37,012.17, 51,076.71 and 20,245.17

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Solution

The fourth proportional to 37,012.17, 51,076.71 and 20,245.17 is: 27,938.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,012.17 : 51,076.71 = 20,245.17 : x
  2. Step 2: Convert to fraction form
    37,012.17/51,076.71 = 20,245.17/x
  3. Step 3: Cross multiply
    37,012.17x = 51,076.71 × 20,245.17
  4. Step 4: Simplify right side
    37,012.17x = 1,034,056,676.99
  5. Step 5: Solve for x
    x = 1,034,056,676.99/37,012.17
  6. Step 6: Final answer
    x = 27,938.29

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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.