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Finding the Fourth Proportional to 31,352.70, 47,029.14 and 12,627.12

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Solution

The fourth proportional to 31,352.70, 47,029.14 and 12,627.12 is: 18,940.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,352.70 : 47,029.14 = 12,627.12 : x
  2. Step 2: Convert to fraction form
    31,352.70/47,029.14 = 12,627.12/x
  3. Step 3: Cross multiply
    31,352.70x = 47,029.14 × 12,627.12
  4. Step 4: Simplify right side
    31,352.70x = 593,842,594.28
  5. Step 5: Solve for x
    x = 593,842,594.28/31,352.70
  6. Step 6: Final answer
    x = 18,940.72

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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.