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Finding the Fourth Proportional to 31,185.44, 46,811.46 and 13,424.89

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Solution

The fourth proportional to 31,185.44, 46,811.46 and 13,424.89 is: 20,151.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,185.44 : 46,811.46 = 13,424.89 : x
  2. Step 2: Convert to fraction form
    31,185.44/46,811.46 = 13,424.89/x
  3. Step 3: Cross multiply
    31,185.44x = 46,811.46 × 13,424.89
  4. Step 4: Simplify right side
    31,185.44x = 628,438,701.24
  5. Step 5: Solve for x
    x = 628,438,701.24/31,185.44
  6. Step 6: Final answer
    x = 20,151.67

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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.