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Finding the Fourth Proportional to 30,523.77, 45,778.48 and 8,331.86

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Solution

The fourth proportional to 30,523.77, 45,778.48 and 8,331.86 is: 12,495.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,523.77 : 45,778.48 = 8,331.86 : x
  2. Step 2: Convert to fraction form
    30,523.77/45,778.48 = 8,331.86/x
  3. Step 3: Cross multiply
    30,523.77x = 45,778.48 × 8,331.86
  4. Step 4: Simplify right side
    30,523.77x = 381,419,886.37
  5. Step 5: Solve for x
    x = 381,419,886.37/30,523.77
  6. Step 6: Final answer
    x = 12,495.83

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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.