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Finding the Fourth Proportional to 30,576.75, 45,872.34 and 9,515.80

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Solution

The fourth proportional to 30,576.75, 45,872.34 and 9,515.80 is: 14,275.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,576.75 : 45,872.34 = 9,515.80 : x
  2. Step 2: Convert to fraction form
    30,576.75/45,872.34 = 9,515.80/x
  3. Step 3: Cross multiply
    30,576.75x = 45,872.34 × 9,515.80
  4. Step 4: Simplify right side
    30,576.75x = 436,512,012.97
  5. Step 5: Solve for x
    x = 436,512,012.97/30,576.75
  6. Step 6: Final answer
    x = 14,275.95

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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.