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Finding the Fourth Proportional to 31,091.99, 46,644.63 and 10,033.23

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Solution

The fourth proportional to 31,091.99, 46,644.63 and 10,033.23 is: 15,051.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,091.99 : 46,644.63 = 10,033.23 : x
  2. Step 2: Convert to fraction form
    31,091.99/46,644.63 = 10,033.23/x
  3. Step 3: Cross multiply
    31,091.99x = 46,644.63 × 10,033.23
  4. Step 4: Simplify right side
    31,091.99x = 467,996,175.97
  5. Step 5: Solve for x
    x = 467,996,175.97/31,091.99
  6. Step 6: Final answer
    x = 15,051.98

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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.