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Finding the Fourth Proportional to 33,172, 49,760.43 and 10,984.89

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Solution

The fourth proportional to 33,172, 49,760.43 and 10,984.89 is: 16,478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,172 : 49,760.43 = 10,984.89 : x
  2. Step 2: Convert to fraction form
    33,172/49,760.43 = 10,984.89/x
  3. Step 3: Cross multiply
    33,172x = 49,760.43 × 10,984.89
  4. Step 4: Simplify right side
    33,172x = 546,612,849.90
  5. Step 5: Solve for x
    x = 546,612,849.90/33,172
  6. Step 6: Final answer
    x = 16,478.14

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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.