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Finding the Fourth Proportional to 30,476.89, 45,717.36 and 11,757.12

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Solution

The fourth proportional to 30,476.89, 45,717.36 and 11,757.12 is: 17,636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,476.89 : 45,717.36 = 11,757.12 : x
  2. Step 2: Convert to fraction form
    30,476.89/45,717.36 = 11,757.12/x
  3. Step 3: Cross multiply
    30,476.89x = 45,717.36 × 11,757.12
  4. Step 4: Simplify right side
    30,476.89x = 537,504,487.60
  5. Step 5: Solve for x
    x = 537,504,487.60/30,476.89
  6. Step 6: Final answer
    x = 17,636.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.