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Finding the Fourth Proportional to 37,348, 51,540.24 and 22,444

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Solution

The fourth proportional to 37,348, 51,540.24 and 22,444 is: 30,972.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,348 : 51,540.24 = 22,444 : x
  2. Step 2: Convert to fraction form
    37,348/51,540.24 = 22,444/x
  3. Step 3: Cross multiply
    37,348x = 51,540.24 × 22,444
  4. Step 4: Simplify right side
    37,348x = 1,156,769,146.56
  5. Step 5: Solve for x
    x = 1,156,769,146.56/37,348
  6. Step 6: Final answer
    x = 30,972.72

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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.