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Finding the Fourth Proportional to 30,568.95, 45,853.49 and 8,382.64

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Solution

The fourth proportional to 30,568.95, 45,853.49 and 8,382.64 is: 12,573.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,568.95 : 45,853.49 = 8,382.64 : x
  2. Step 2: Convert to fraction form
    30,568.95/45,853.49 = 8,382.64/x
  3. Step 3: Cross multiply
    30,568.95x = 45,853.49 × 8,382.64
  4. Step 4: Simplify right side
    30,568.95x = 384,373,257.50
  5. Step 5: Solve for x
    x = 384,373,257.50/30,568.95
  6. Step 6: Final answer
    x = 12,573.98

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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.