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Finding the Fourth Proportional to 31,793.63, 47,698.97 and 11,017.13

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Solution

The fourth proportional to 31,793.63, 47,698.97 and 11,017.13 is: 16,528.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,793.63 : 47,698.97 = 11,017.13 : x
  2. Step 2: Convert to fraction form
    31,793.63/47,698.97 = 11,017.13/x
  3. Step 3: Cross multiply
    31,793.63x = 47,698.97 × 11,017.13
  4. Step 4: Simplify right side
    31,793.63x = 525,505,459.78
  5. Step 5: Solve for x
    x = 525,505,459.78/31,793.63
  6. Step 6: Final answer
    x = 16,528.64

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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.