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Finding the Fourth Proportional to 30,986.83, 42,749.75 and 22,939.75

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Solution

The fourth proportional to 30,986.83, 42,749.75 and 22,939.75 is: 31,647.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,986.83 : 42,749.75 = 22,939.75 : x
  2. Step 2: Convert to fraction form
    30,986.83/42,749.75 = 22,939.75/x
  3. Step 3: Cross multiply
    30,986.83x = 42,749.75 × 22,939.75
  4. Step 4: Simplify right side
    30,986.83x = 980,668,474.60
  5. Step 5: Solve for x
    x = 980,668,474.60/30,986.83
  6. Step 6: Final answer
    x = 31,647.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.