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Finding the Fourth Proportional to 30,076.49, 41,505.64 and 16,648.67

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Solution

The fourth proportional to 30,076.49, 41,505.64 and 16,648.67 is: 22,975.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,076.49 : 41,505.64 = 16,648.67 : x
  2. Step 2: Convert to fraction form
    30,076.49/41,505.64 = 16,648.67/x
  3. Step 3: Cross multiply
    30,076.49x = 41,505.64 × 16,648.67
  4. Step 4: Simplify right side
    30,076.49x = 691,013,620.26
  5. Step 5: Solve for x
    x = 691,013,620.26/30,076.49
  6. Step 6: Final answer
    x = 22,975.21

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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.