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Finding the Fourth Proportional to 31,793.50, 47,690.25 and 11,017

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Solution

The fourth proportional to 31,793.50, 47,690.25 and 11,017 is: 16,525.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,793.50 : 47,690.25 = 11,017 : x
  2. Step 2: Convert to fraction form
    31,793.50/47,690.25 = 11,017/x
  3. Step 3: Cross multiply
    31,793.50x = 47,690.25 × 11,017
  4. Step 4: Simplify right side
    31,793.50x = 525,403,484.25
  5. Step 5: Solve for x
    x = 525,403,484.25/31,793.50
  6. Step 6: Final answer
    x = 16,525.50

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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.