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Finding the Fourth Proportional to 31,882.56, 47,804.40 and 12,140.03

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Solution

The fourth proportional to 31,882.56, 47,804.40 and 12,140.03 is: 18,202.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,882.56 : 47,804.40 = 12,140.03 : x
  2. Step 2: Convert to fraction form
    31,882.56/47,804.40 = 12,140.03/x
  3. Step 3: Cross multiply
    31,882.56x = 47,804.40 × 12,140.03
  4. Step 4: Simplify right side
    31,882.56x = 580,346,611.11
  5. Step 5: Solve for x
    x = 580,346,611.11/31,882.56
  6. Step 6: Final answer
    x = 18,202.64

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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.