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Finding the Fourth Proportional to 47,853.79, 71,745.14 and 33,020.46

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Solution

The fourth proportional to 47,853.79, 71,745.14 and 33,020.46 is: 49,506.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,853.79 : 71,745.14 = 33,020.46 : x
  2. Step 2: Convert to fraction form
    47,853.79/71,745.14 = 33,020.46/x
  3. Step 3: Cross multiply
    47,853.79x = 71,745.14 × 33,020.46
  4. Step 4: Simplify right side
    47,853.79x = 2,369,057,608.12
  5. Step 5: Solve for x
    x = 2,369,057,608.12/47,853.79
  6. Step 6: Final answer
    x = 49,506.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.