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Finding the Fourth Proportional to 31,969.60, 47,950.20 and 9,785.20

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Solution

The fourth proportional to 31,969.60, 47,950.20 and 9,785.20 is: 14,676.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,969.60 : 47,950.20 = 9,785.20 : x
  2. Step 2: Convert to fraction form
    31,969.60/47,950.20 = 9,785.20/x
  3. Step 3: Cross multiply
    31,969.60x = 47,950.20 × 9,785.20
  4. Step 4: Simplify right side
    31,969.60x = 469,202,297.04
  5. Step 5: Solve for x
    x = 469,202,297.04/31,969.60
  6. Step 6: Final answer
    x = 14,676.51

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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.