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Finding the Fourth Proportional to 32,002.29, 48,003.44 and 8,629.74

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Solution

The fourth proportional to 32,002.29, 48,003.44 and 8,629.74 is: 12,944.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,002.29 : 48,003.44 = 8,629.74 : x
  2. Step 2: Convert to fraction form
    32,002.29/48,003.44 = 8,629.74/x
  3. Step 3: Cross multiply
    32,002.29x = 48,003.44 × 8,629.74
  4. Step 4: Simplify right side
    32,002.29x = 414,257,163.16
  5. Step 5: Solve for x
    x = 414,257,163.16/32,002.29
  6. Step 6: Final answer
    x = 12,944.61

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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.