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Finding the Fourth Proportional to 30,255, 45,382.50 and 8,367

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Solution

The fourth proportional to 30,255, 45,382.50 and 8,367 is: 12,550.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,255 : 45,382.50 = 8,367 : x
  2. Step 2: Convert to fraction form
    30,255/45,382.50 = 8,367/x
  3. Step 3: Cross multiply
    30,255x = 45,382.50 × 8,367
  4. Step 4: Simplify right side
    30,255x = 379,715,377.50
  5. Step 5: Solve for x
    x = 379,715,377.50/30,255
  6. Step 6: Final answer
    x = 12,550.50

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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.