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Finding the Fourth Proportional to 31,806.96, 47,723.92 and 17,012

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Solution

The fourth proportional to 31,806.96, 47,723.92 and 17,012 is: 25,525.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,806.96 : 47,723.92 = 17,012 : x
  2. Step 2: Convert to fraction form
    31,806.96/47,723.92 = 17,012/x
  3. Step 3: Cross multiply
    31,806.96x = 47,723.92 × 17,012
  4. Step 4: Simplify right side
    31,806.96x = 811,879,327.04
  5. Step 5: Solve for x
    x = 811,879,327.04/31,806.96
  6. Step 6: Final answer
    x = 25,525.21

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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.