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Finding the Fourth Proportional to 37,481.50, 51,724.56 and 20,714.50

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Solution

The fourth proportional to 37,481.50, 51,724.56 and 20,714.50 is: 28,586.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,481.50 : 51,724.56 = 20,714.50 : x
  2. Step 2: Convert to fraction form
    37,481.50/51,724.56 = 20,714.50/x
  3. Step 3: Cross multiply
    37,481.50x = 51,724.56 × 20,714.50
  4. Step 4: Simplify right side
    37,481.50x = 1,071,448,398.12
  5. Step 5: Solve for x
    x = 1,071,448,398.12/37,481.50
  6. Step 6: Final answer
    x = 28,586.06

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1.5x scale

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.