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Finding the Fourth Proportional to 31,277.88, 43,174.00 and 19,013.24

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Solution

The fourth proportional to 31,277.88, 43,174.00 and 19,013.24 is: 26,244.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,277.88 : 43,174.00 = 19,013.24 : x
  2. Step 2: Convert to fraction form
    31,277.88/43,174.00 = 19,013.24/x
  3. Step 3: Cross multiply
    31,277.88x = 43,174.00 × 19,013.24
  4. Step 4: Simplify right side
    31,277.88x = 820,877,527.09
  5. Step 5: Solve for x
    x = 820,877,527.09/31,277.88
  6. Step 6: Final answer
    x = 26,244.67

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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.