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Finding the Fourth Proportional to 37,476.32, 51,718 and 20,481.28

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Solution

The fourth proportional to 37,476.32, 51,718 and 20,481.28 is: 28,264.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,476.32 : 51,718 = 20,481.28 : x
  2. Step 2: Convert to fraction form
    37,476.32/51,718 = 20,481.28/x
  3. Step 3: Cross multiply
    37,476.32x = 51,718 × 20,481.28
  4. Step 4: Simplify right side
    37,476.32x = 1,059,250,839.04
  5. Step 5: Solve for x
    x = 1,059,250,839.04/37,476.32
  6. Step 6: Final answer
    x = 28,264.54

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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.