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Finding the Fourth Proportional to 31,801.20, 47,712.20 and 13,090.06

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Solution

The fourth proportional to 31,801.20, 47,712.20 and 13,090.06 is: 19,639.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,801.20 : 47,712.20 = 13,090.06 : x
  2. Step 2: Convert to fraction form
    31,801.20/47,712.20 = 13,090.06/x
  3. Step 3: Cross multiply
    31,801.20x = 47,712.20 × 13,090.06
  4. Step 4: Simplify right side
    31,801.20x = 624,555,560.73
  5. Step 5: Solve for x
    x = 624,555,560.73/31,801.20
  6. Step 6: Final answer
    x = 19,639.37

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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.