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Finding the Fourth Proportional to 31,996.14, 44,154.54 and 17,849.00

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Solution

The fourth proportional to 31,996.14, 44,154.54 and 17,849.00 is: 24,631.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,996.14 : 44,154.54 = 17,849.00 : x
  2. Step 2: Convert to fraction form
    31,996.14/44,154.54 = 17,849.00/x
  3. Step 3: Cross multiply
    31,996.14x = 44,154.54 × 17,849.00
  4. Step 4: Simplify right side
    31,996.14x = 788,114,163.69
  5. Step 5: Solve for x
    x = 788,114,163.69/31,996.14
  6. Step 6: Final answer
    x = 24,631.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.