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Finding the Fourth Proportional to 31,378.59, 43,302.74 and 17,231.54

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Solution

The fourth proportional to 31,378.59, 43,302.74 and 17,231.54 is: 23,779.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,378.59 : 43,302.74 = 17,231.54 : x
  2. Step 2: Convert to fraction form
    31,378.59/43,302.74 = 17,231.54/x
  3. Step 3: Cross multiply
    31,378.59x = 43,302.74 × 17,231.54
  4. Step 4: Simplify right side
    31,378.59x = 746,172,593.75
  5. Step 5: Solve for x
    x = 746,172,593.75/31,378.59
  6. Step 6: Final answer
    x = 23,779.67

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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.