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Finding the Fourth Proportional to 31,941.30, 44,079.04 and 17,794.64

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Solution

The fourth proportional to 31,941.30, 44,079.04 and 17,794.64 is: 24,556.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,941.30 : 44,079.04 = 17,794.64 : x
  2. Step 2: Convert to fraction form
    31,941.30/44,079.04 = 17,794.64/x
  3. Step 3: Cross multiply
    31,941.30x = 44,079.04 × 17,794.64
  4. Step 4: Simplify right side
    31,941.30x = 784,370,648.35
  5. Step 5: Solve for x
    x = 784,370,648.35/31,941.30
  6. Step 6: Final answer
    x = 24,556.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.