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Finding the Fourth Proportional to 30,974.67, 42,743.84 and 17,546.67

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Solution

The fourth proportional to 30,974.67, 42,743.84 and 17,546.67 is: 24,213.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,974.67 : 42,743.84 = 17,546.67 : x
  2. Step 2: Convert to fraction form
    30,974.67/42,743.84 = 17,546.67/x
  3. Step 3: Cross multiply
    30,974.67x = 42,743.84 × 17,546.67
  4. Step 4: Simplify right side
    30,974.67x = 750,011,967.28
  5. Step 5: Solve for x
    x = 750,011,967.28/30,974.67
  6. Step 6: Final answer
    x = 24,213.72

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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.