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Finding the Fourth Proportional to 37,012.56, 51,077.40 and 20,245.56

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Solution

The fourth proportional to 37,012.56, 51,077.40 and 20,245.56 is: 27,938.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,012.56 : 51,077.40 = 20,245.56 : x
  2. Step 2: Convert to fraction form
    37,012.56/51,077.40 = 20,245.56/x
  3. Step 3: Cross multiply
    37,012.56x = 51,077.40 × 20,245.56
  4. Step 4: Simplify right side
    37,012.56x = 1,034,090,566.34
  5. Step 5: Solve for x
    x = 1,034,090,566.34/37,012.56
  6. Step 6: Final answer
    x = 27,938.91

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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.