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Finding the Fourth Proportional to 28,872.96, 43,283.52 and 10,392

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Solution

The fourth proportional to 28,872.96, 43,283.52 and 10,392 is: 15,578.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,872.96 : 43,283.52 = 10,392 : x
  2. Step 2: Convert to fraction form
    28,872.96/43,283.52 = 10,392/x
  3. Step 3: Cross multiply
    28,872.96x = 43,283.52 × 10,392
  4. Step 4: Simplify right side
    28,872.96x = 449,802,339.84
  5. Step 5: Solve for x
    x = 449,802,339.84/28,872.96
  6. Step 6: Final answer
    x = 15,578.67

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Why These Related Problems?

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