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Finding the Fourth Proportional to 30,896.49, 46,343.84 and 7,522.59

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Solution

The fourth proportional to 30,896.49, 46,343.84 and 7,522.59 is: 11,283.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,896.49 : 46,343.84 = 7,522.59 : x
  2. Step 2: Convert to fraction form
    30,896.49/46,343.84 = 7,522.59/x
  3. Step 3: Cross multiply
    30,896.49x = 46,343.84 × 7,522.59
  4. Step 4: Simplify right side
    30,896.49x = 348,625,669.73
  5. Step 5: Solve for x
    x = 348,625,669.73/30,896.49
  6. Step 6: Final answer
    x = 11,283.67

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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.