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Finding the Fourth Proportional to 30,144.75, 45,217.13 and 11,676.75

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Solution

The fourth proportional to 30,144.75, 45,217.13 and 11,676.75 is: 17,515.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,144.75 : 45,217.13 = 11,676.75 : x
  2. Step 2: Convert to fraction form
    30,144.75/45,217.13 = 11,676.75/x
  3. Step 3: Cross multiply
    30,144.75x = 45,217.13 × 11,676.75
  4. Step 4: Simplify right side
    30,144.75x = 527,989,064.34
  5. Step 5: Solve for x
    x = 527,989,064.34/30,144.75
  6. Step 6: Final answer
    x = 17,515.13

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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.