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Finding the Fourth Proportional to 33,706.51, 50,570.57 and 16,177.57

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Solution

The fourth proportional to 33,706.51, 50,570.57 and 16,177.57 is: 24,271.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,706.51 : 50,570.57 = 16,177.57 : x
  2. Step 2: Convert to fraction form
    33,706.51/50,570.57 = 16,177.57/x
  3. Step 3: Cross multiply
    33,706.51x = 50,570.57 × 16,177.57
  4. Step 4: Simplify right side
    33,706.51x = 818,108,850.13
  5. Step 5: Solve for x
    x = 818,108,850.13/33,706.51
  6. Step 6: Final answer
    x = 24,271.54

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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.