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Finding the Fourth Proportional to 38,474, 53,094.12 and 27,315.44

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Solution

The fourth proportional to 38,474, 53,094.12 and 27,315.44 is: 37,695.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,474 : 53,094.12 = 27,315.44 : x
  2. Step 2: Convert to fraction form
    38,474/53,094.12 = 27,315.44/x
  3. Step 3: Cross multiply
    38,474x = 53,094.12 × 27,315.44
  4. Step 4: Simplify right side
    38,474x = 1,450,289,249.21
  5. Step 5: Solve for x
    x = 1,450,289,249.21/38,474
  6. Step 6: Final answer
    x = 37,695.31

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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.