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Finding the Fourth Proportional to 30,876.79, 42,609.41 and 17,447.75

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Solution

The fourth proportional to 30,876.79, 42,609.41 and 17,447.75 is: 24,077.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,876.79 : 42,609.41 = 17,447.75 : x
  2. Step 2: Convert to fraction form
    30,876.79/42,609.41 = 17,447.75/x
  3. Step 3: Cross multiply
    30,876.79x = 42,609.41 × 17,447.75
  4. Step 4: Simplify right side
    30,876.79x = 743,438,333.33
  5. Step 5: Solve for x
    x = 743,438,333.33/30,876.79
  6. Step 6: Final answer
    x = 24,077.58

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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.