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Finding the Fourth Proportional to 31,191.30, 46,782 and 10,131.84

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Solution

The fourth proportional to 31,191.30, 46,782 and 10,131.84 is: 15,196.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,191.30 : 46,782 = 10,131.84 : x
  2. Step 2: Convert to fraction form
    31,191.30/46,782 = 10,131.84/x
  3. Step 3: Cross multiply
    31,191.30x = 46,782 × 10,131.84
  4. Step 4: Simplify right side
    31,191.30x = 473,987,738.88
  5. Step 5: Solve for x
    x = 473,987,738.88/31,191.30
  6. Step 6: Final answer
    x = 15,196.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.