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Finding the Fourth Proportional to 37,012, 51,076.56 and 20,245

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Solution

The fourth proportional to 37,012, 51,076.56 and 20,245 is: 27,938.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,012 : 51,076.56 = 20,245 : x
  2. Step 2: Convert to fraction form
    37,012/51,076.56 = 20,245/x
  3. Step 3: Cross multiply
    37,012x = 51,076.56 × 20,245
  4. Step 4: Simplify right side
    37,012x = 1,034,044,957.20
  5. Step 5: Solve for x
    x = 1,034,044,957.20/37,012
  6. Step 6: Final answer
    x = 27,938.10

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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.