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Finding the Fourth Proportional to 31,662.56, 47,467.56 and 11,930.24

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Solution

The fourth proportional to 31,662.56, 47,467.56 and 11,930.24 is: 17,885.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,662.56 : 47,467.56 = 11,930.24 : x
  2. Step 2: Convert to fraction form
    31,662.56/47,467.56 = 11,930.24/x
  3. Step 3: Cross multiply
    31,662.56x = 47,467.56 × 11,930.24
  4. Step 4: Simplify right side
    31,662.56x = 566,299,383.01
  5. Step 5: Solve for x
    x = 566,299,383.01/31,662.56
  6. Step 6: Final answer
    x = 17,885.46

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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.