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Finding the Fourth Proportional to 32,983.83, 49,475.34 and 8,023.88

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Solution

The fourth proportional to 32,983.83, 49,475.34 and 8,023.88 is: 12,035.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,983.83 : 49,475.34 = 8,023.88 : x
  2. Step 2: Convert to fraction form
    32,983.83/49,475.34 = 8,023.88/x
  3. Step 3: Cross multiply
    32,983.83x = 49,475.34 × 8,023.88
  4. Step 4: Simplify right side
    32,983.83x = 396,984,314.81
  5. Step 5: Solve for x
    x = 396,984,314.81/32,983.83
  6. Step 6: Final answer
    x = 12,035.73

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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.