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Finding the Fourth Proportional to 31,060.85, 46,576.94 and 9,996.98

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Solution

The fourth proportional to 31,060.85, 46,576.94 and 9,996.98 is: 14,990.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,060.85 : 46,576.94 = 9,996.98 : x
  2. Step 2: Convert to fraction form
    31,060.85/46,576.94 = 9,996.98/x
  3. Step 3: Cross multiply
    31,060.85x = 46,576.94 × 9,996.98
  4. Step 4: Simplify right side
    31,060.85x = 465,628,454.77
  5. Step 5: Solve for x
    x = 465,628,454.77/31,060.85
  6. Step 6: Final answer
    x = 14,990.85

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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.