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Finding the Fourth Proportional to 43,141.74, 64,728.09 and 16,865.34

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Solution

The fourth proportional to 43,141.74, 64,728.09 and 16,865.34 is: 25,304.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,141.74 : 64,728.09 = 16,865.34 : x
  2. Step 2: Convert to fraction form
    43,141.74/64,728.09 = 16,865.34/x
  3. Step 3: Cross multiply
    43,141.74x = 64,728.09 × 16,865.34
  4. Step 4: Simplify right side
    43,141.74x = 1,091,661,245.40
  5. Step 5: Solve for x
    x = 1,091,661,245.40/43,141.74
  6. Step 6: Final answer
    x = 25,304.06

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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.