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Finding the Fourth Proportional to 38,009.66, 57,014.50 and 11,714.42

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Solution

The fourth proportional to 38,009.66, 57,014.50 and 11,714.42 is: 17,571.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,009.66 : 57,014.50 = 11,714.42 : x
  2. Step 2: Convert to fraction form
    38,009.66/57,014.50 = 11,714.42/x
  3. Step 3: Cross multiply
    38,009.66x = 57,014.50 × 11,714.42
  4. Step 4: Simplify right side
    38,009.66x = 667,891,799.09
  5. Step 5: Solve for x
    x = 667,891,799.09/38,009.66
  6. Step 6: Final answer
    x = 17,571.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.