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Finding the Fourth Proportional to 32,604.52, 48,908.70 and 9,229

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Solution

The fourth proportional to 32,604.52, 48,908.70 and 9,229 is: 13,844.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,604.52 : 48,908.70 = 9,229 : x
  2. Step 2: Convert to fraction form
    32,604.52/48,908.70 = 9,229/x
  3. Step 3: Cross multiply
    32,604.52x = 48,908.70 × 9,229
  4. Step 4: Simplify right side
    32,604.52x = 451,378,392.30
  5. Step 5: Solve for x
    x = 451,378,392.30/32,604.52
  6. Step 6: Final answer
    x = 13,844.04

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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.