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Finding the Fourth Proportional to 37,444.52, 51,673.46 and 20,449

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Solution

The fourth proportional to 37,444.52, 51,673.46 and 20,449 is: 28,219.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,444.52 : 51,673.46 = 20,449 : x
  2. Step 2: Convert to fraction form
    37,444.52/51,673.46 = 20,449/x
  3. Step 3: Cross multiply
    37,444.52x = 51,673.46 × 20,449
  4. Step 4: Simplify right side
    37,444.52x = 1,056,670,583.54
  5. Step 5: Solve for x
    x = 1,056,670,583.54/37,444.52
  6. Step 6: Final answer
    x = 28,219.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.