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Finding the Fourth Proportional to 31,757.32, 47,635.99 and 8,066.64

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Solution

The fourth proportional to 31,757.32, 47,635.99 and 8,066.64 is: 12,099.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,757.32 : 47,635.99 = 8,066.64 : x
  2. Step 2: Convert to fraction form
    31,757.32/47,635.99 = 8,066.64/x
  3. Step 3: Cross multiply
    31,757.32x = 47,635.99 × 8,066.64
  4. Step 4: Simplify right side
    31,757.32x = 384,262,407.58
  5. Step 5: Solve for x
    x = 384,262,407.58/31,757.32
  6. Step 6: Final answer
    x = 12,099.96

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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.