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Finding the Fourth Proportional to 41,751.79, 57,611.21 and 23,843

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Solution

The fourth proportional to 41,751.79, 57,611.21 and 23,843 is: 32,899.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,751.79 : 57,611.21 = 23,843 : x
  2. Step 2: Convert to fraction form
    41,751.79/57,611.21 = 23,843/x
  3. Step 3: Cross multiply
    41,751.79x = 57,611.21 × 23,843
  4. Step 4: Simplify right side
    41,751.79x = 1,373,624,080.03
  5. Step 5: Solve for x
    x = 1,373,624,080.03/41,751.79
  6. Step 6: Final answer
    x = 32,899.77

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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.