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Finding the Fourth Proportional to 32,874.36, 49,306.68 and 12,093

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Solution

The fourth proportional to 32,874.36, 49,306.68 and 12,093 is: 18,137.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,874.36 : 49,306.68 = 12,093 : x
  2. Step 2: Convert to fraction form
    32,874.36/49,306.68 = 12,093/x
  3. Step 3: Cross multiply
    32,874.36x = 49,306.68 × 12,093
  4. Step 4: Simplify right side
    32,874.36x = 596,265,681.24
  5. Step 5: Solve for x
    x = 596,265,681.24/32,874.36
  6. Step 6: Final answer
    x = 18,137.71

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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.