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Finding the Fourth Proportional to 37,612.80, 51,882.06 and 24,201.48

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Solution

The fourth proportional to 37,612.80, 51,882.06 and 24,201.48 is: 33,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,612.80 : 51,882.06 = 24,201.48 : x
  2. Step 2: Convert to fraction form
    37,612.80/51,882.06 = 24,201.48/x
  3. Step 3: Cross multiply
    37,612.80x = 51,882.06 × 24,201.48
  4. Step 4: Simplify right side
    37,612.80x = 1,255,622,637.45
  5. Step 5: Solve for x
    x = 1,255,622,637.45/37,612.80
  6. Step 6: Final answer
    x = 33,382.85

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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.