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Finding the Fourth Proportional to 32,983.48, 49,474.50 and 8,023.64

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Solution

The fourth proportional to 32,983.48, 49,474.50 and 8,023.64 is: 12,035.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,983.48 : 49,474.50 = 8,023.64 : x
  2. Step 2: Convert to fraction form
    32,983.48/49,474.50 = 8,023.64/x
  3. Step 3: Cross multiply
    32,983.48x = 49,474.50 × 8,023.64
  4. Step 4: Simplify right side
    32,983.48x = 396,965,577.18
  5. Step 5: Solve for x
    x = 396,965,577.18/32,983.48
  6. Step 6: Final answer
    x = 12,035.28

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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.