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Finding the Fourth Proportional to 31,804.57, 47,701.45 and 8,433.37

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Solution

The fourth proportional to 31,804.57, 47,701.45 and 8,433.37 is: 12,648.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,804.57 : 47,701.45 = 8,433.37 : x
  2. Step 2: Convert to fraction form
    31,804.57/47,701.45 = 8,433.37/x
  3. Step 3: Cross multiply
    31,804.57x = 47,701.45 × 8,433.37
  4. Step 4: Simplify right side
    31,804.57x = 402,283,977.39
  5. Step 5: Solve for x
    x = 402,283,977.39/31,804.57
  6. Step 6: Final answer
    x = 12,648.62

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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.