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Finding the Fourth Proportional to 71,696.75, 107,558.69 and 23,668.07

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Solution

The fourth proportional to 71,696.75, 107,558.69 and 23,668.07 is: 35,506.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,696.75 : 107,558.69 = 23,668.07 : x
  2. Step 2: Convert to fraction form
    71,696.75/107,558.69 = 23,668.07/x
  3. Step 3: Cross multiply
    71,696.75x = 107,558.69 × 23,668.07
  4. Step 4: Simplify right side
    71,696.75x = 2,545,705,947.89
  5. Step 5: Solve for x
    x = 2,545,705,947.89/71,696.75
  6. Step 6: Final answer
    x = 35,506.58

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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.