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Finding the Fourth Proportional to 30,861.44, 46,282.61 and 11,137.50

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Solution

The fourth proportional to 30,861.44, 46,282.61 and 11,137.50 is: 16,702.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,861.44 : 46,282.61 = 11,137.50 : x
  2. Step 2: Convert to fraction form
    30,861.44/46,282.61 = 11,137.50/x
  3. Step 3: Cross multiply
    30,861.44x = 46,282.61 × 11,137.50
  4. Step 4: Simplify right side
    30,861.44x = 515,472,568.88
  5. Step 5: Solve for x
    x = 515,472,568.88/30,861.44
  6. Step 6: Final answer
    x = 16,702.80

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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.