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Finding the Fourth Proportional to 33,049.52, 49,259.27 and 31,181.46

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Solution

The fourth proportional to 33,049.52, 49,259.27 and 31,181.46 is: 46,474.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,049.52 : 49,259.27 = 31,181.46 : x
  2. Step 2: Convert to fraction form
    33,049.52/49,259.27 = 31,181.46/x
  3. Step 3: Cross multiply
    33,049.52x = 49,259.27 × 31,181.46
  4. Step 4: Simplify right side
    33,049.52x = 1,535,975,554.93
  5. Step 5: Solve for x
    x = 1,535,975,554.93/33,049.52
  6. Step 6: Final answer
    x = 46,474.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.