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Finding the Fourth Proportional to 31,805.37, 47,706.84 and 13,080.20

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Solution

The fourth proportional to 31,805.37, 47,706.84 and 13,080.20 is: 19,619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,805.37 : 47,706.84 = 13,080.20 : x
  2. Step 2: Convert to fraction form
    31,805.37/47,706.84 = 13,080.20/x
  3. Step 3: Cross multiply
    31,805.37x = 47,706.84 × 13,080.20
  4. Step 4: Simplify right side
    31,805.37x = 624,015,008.57
  5. Step 5: Solve for x
    x = 624,015,008.57/31,805.37
  6. Step 6: Final answer
    x = 19,619.80

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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.