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Finding the Fourth Proportional to 37,851.38, 51,856.64 and 36,432.54

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Solution

The fourth proportional to 37,851.38, 51,856.64 and 36,432.54 is: 49,912.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,851.38 : 51,856.64 = 36,432.54 : x
  2. Step 2: Convert to fraction form
    37,851.38/51,856.64 = 36,432.54/x
  3. Step 3: Cross multiply
    37,851.38x = 51,856.64 × 36,432.54
  4. Step 4: Simplify right side
    37,851.38x = 1,889,269,111.07
  5. Step 5: Solve for x
    x = 1,889,269,111.07/37,851.38
  6. Step 6: Final answer
    x = 49,912.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.