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Finding the Fourth Proportional to 37,351, 51,544.38 and 22,447

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Solution

The fourth proportional to 37,351, 51,544.38 and 22,447 is: 30,976.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,351 : 51,544.38 = 22,447 : x
  2. Step 2: Convert to fraction form
    37,351/51,544.38 = 22,447/x
  3. Step 3: Cross multiply
    37,351x = 51,544.38 × 22,447
  4. Step 4: Simplify right side
    37,351x = 1,157,016,697.86
  5. Step 5: Solve for x
    x = 1,157,016,697.86/37,351
  6. Step 6: Final answer
    x = 30,976.86

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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.