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Finding the Fourth Proportional to 31,846.37, 47,763.17 and 30,265.65

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Solution

The fourth proportional to 31,846.37, 47,763.17 and 30,265.65 is: 45,392.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,846.37 : 47,763.17 = 30,265.65 : x
  2. Step 2: Convert to fraction form
    31,846.37/47,763.17 = 30,265.65/x
  3. Step 3: Cross multiply
    31,846.37x = 47,763.17 × 30,265.65
  4. Step 4: Simplify right side
    31,846.37x = 1,445,583,348.28
  5. Step 5: Solve for x
    x = 1,445,583,348.28/31,846.37
  6. Step 6: Final answer
    x = 45,392.41

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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.