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Finding the Fourth Proportional to 32,977, 49,479.90 and 12,194.92

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Solution

The fourth proportional to 32,977, 49,479.90 and 12,194.92 is: 18,297.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,977 : 49,479.90 = 12,194.92 : x
  2. Step 2: Convert to fraction form
    32,977/49,479.90 = 12,194.92/x
  3. Step 3: Cross multiply
    32,977x = 49,479.90 × 12,194.92
  4. Step 4: Simplify right side
    32,977x = 603,403,422.11
  5. Step 5: Solve for x
    x = 603,403,422.11/32,977
  6. Step 6: Final answer
    x = 18,297.71

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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.