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Finding the Fourth Proportional to 37,014, 51,079.32 and 20,247

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Solution

The fourth proportional to 37,014, 51,079.32 and 20,247 is: 27,940.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,014 : 51,079.32 = 20,247 : x
  2. Step 2: Convert to fraction form
    37,014/51,079.32 = 20,247/x
  3. Step 3: Cross multiply
    37,014x = 51,079.32 × 20,247
  4. Step 4: Simplify right side
    37,014x = 1,034,202,992.04
  5. Step 5: Solve for x
    x = 1,034,202,992.04/37,014
  6. Step 6: Final answer
    x = 27,940.86

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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.