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Finding the Fourth Proportional to 32,684.64, 49,020.69 and 12,694.11

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Solution

The fourth proportional to 32,684.64, 49,020.69 and 12,694.11 is: 19,038.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,684.64 : 49,020.69 = 12,694.11 : x
  2. Step 2: Convert to fraction form
    32,684.64/49,020.69 = 12,694.11/x
  3. Step 3: Cross multiply
    32,684.64x = 49,020.69 × 12,694.11
  4. Step 4: Simplify right side
    32,684.64x = 622,274,031.14
  5. Step 5: Solve for x
    x = 622,274,031.14/32,684.64
  6. Step 6: Final answer
    x = 19,038.73

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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.