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Finding the Fourth Proportional to 24,692.73, 37,042.94 and 8,048.90

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Solution

The fourth proportional to 24,692.73, 37,042.94 and 8,048.90 is: 12,074.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,692.73 : 37,042.94 = 8,048.90 : x
  2. Step 2: Convert to fraction form
    24,692.73/37,042.94 = 8,048.90/x
  3. Step 3: Cross multiply
    24,692.73x = 37,042.94 × 8,048.90
  4. Step 4: Simplify right side
    24,692.73x = 298,154,919.77
  5. Step 5: Solve for x
    x = 298,154,919.77/24,692.73
  6. Step 6: Final answer
    x = 12,074.60

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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.