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Finding the Fourth Proportional to 30,294.56, 41,809.74 and 17,729.84

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Solution

The fourth proportional to 30,294.56, 41,809.74 and 17,729.84 is: 24,469.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,294.56 : 41,809.74 = 17,729.84 : x
  2. Step 2: Convert to fraction form
    30,294.56/41,809.74 = 17,729.84/x
  3. Step 3: Cross multiply
    30,294.56x = 41,809.74 × 17,729.84
  4. Step 4: Simplify right side
    30,294.56x = 741,280,038.68
  5. Step 5: Solve for x
    x = 741,280,038.68/30,294.56
  6. Step 6: Final answer
    x = 24,469.08

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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.