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Finding the Fourth Proportional to 97,751.75, 146,629.07 and 23,879.75

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Solution

The fourth proportional to 97,751.75, 146,629.07 and 23,879.75 is: 35,819.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,751.75 : 146,629.07 = 23,879.75 : x
  2. Step 2: Convert to fraction form
    97,751.75/146,629.07 = 23,879.75/x
  3. Step 3: Cross multiply
    97,751.75x = 146,629.07 × 23,879.75
  4. Step 4: Simplify right side
    97,751.75x = 3,501,465,534.33
  5. Step 5: Solve for x
    x = 3,501,465,534.33/97,751.75
  6. Step 6: Final answer
    x = 35,819.98

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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.