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Finding the Fourth Proportional to 31,563.40, 47,282.70 and 20,477.80

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Solution

The fourth proportional to 31,563.40, 47,282.70 and 20,477.80 is: 30,676.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,563.40 : 47,282.70 = 20,477.80 : x
  2. Step 2: Convert to fraction form
    31,563.40/47,282.70 = 20,477.80/x
  3. Step 3: Cross multiply
    31,563.40x = 47,282.70 × 20,477.80
  4. Step 4: Simplify right side
    31,563.40x = 968,245,674.06
  5. Step 5: Solve for x
    x = 968,245,674.06/31,563.40
  6. Step 6: Final answer
    x = 30,676.22

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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.