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Finding the Fourth Proportional to 31,346.85, 47,043 and 11,628.21

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Solution

The fourth proportional to 31,346.85, 47,043 and 11,628.21 is: 17,450.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,346.85 : 47,043 = 11,628.21 : x
  2. Step 2: Convert to fraction form
    31,346.85/47,043 = 11,628.21/x
  3. Step 3: Cross multiply
    31,346.85x = 47,043 × 11,628.21
  4. Step 4: Simplify right side
    31,346.85x = 547,025,883.03
  5. Step 5: Solve for x
    x = 547,025,883.03/31,346.85
  6. Step 6: Final answer
    x = 17,450.74

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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.