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Finding the Fourth Proportional to 49,047.93, 67,706.48 and 33,153.91

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Solution

The fourth proportional to 49,047.93, 67,706.48 and 33,153.91 is: 45,766.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,047.93 : 67,706.48 = 33,153.91 : x
  2. Step 2: Convert to fraction form
    49,047.93/67,706.48 = 33,153.91/x
  3. Step 3: Cross multiply
    49,047.93x = 67,706.48 × 33,153.91
  4. Step 4: Simplify right side
    49,047.93x = 2,244,734,544.34
  5. Step 5: Solve for x
    x = 2,244,734,544.34/49,047.93
  6. Step 6: Final answer
    x = 45,766.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.