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Finding the Fourth Proportional to 24,692.30, 37,044.30 and 8,052.43

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Solution

The fourth proportional to 24,692.30, 37,044.30 and 8,052.43 is: 12,080.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,692.30 : 37,044.30 = 8,052.43 : x
  2. Step 2: Convert to fraction form
    24,692.30/37,044.30 = 8,052.43/x
  3. Step 3: Cross multiply
    24,692.30x = 37,044.30 × 8,052.43
  4. Step 4: Simplify right side
    24,692.30x = 298,296,632.65
  5. Step 5: Solve for x
    x = 298,296,632.65/24,692.30
  6. Step 6: Final answer
    x = 12,080.55

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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.