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Finding the Fourth Proportional to 31,682.97, 47,516.97 and 10,623.78

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Solution

The fourth proportional to 31,682.97, 47,516.97 and 10,623.78 is: 15,933.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,682.97 : 47,516.97 = 10,623.78 : x
  2. Step 2: Convert to fraction form
    31,682.97/47,516.97 = 10,623.78/x
  3. Step 3: Cross multiply
    31,682.97x = 47,516.97 × 10,623.78
  4. Step 4: Simplify right side
    31,682.97x = 504,809,835.55
  5. Step 5: Solve for x
    x = 504,809,835.55/31,682.97
  6. Step 6: Final answer
    x = 15,933.16

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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.