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Finding the Fourth Proportional to 32,490.83, 48,736.21 and 12,231.37

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Solution

The fourth proportional to 32,490.83, 48,736.21 and 12,231.37 is: 18,347.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,490.83 : 48,736.21 = 12,231.37 : x
  2. Step 2: Convert to fraction form
    32,490.83/48,736.21 = 12,231.37/x
  3. Step 3: Cross multiply
    32,490.83x = 48,736.21 × 12,231.37
  4. Step 4: Simplify right side
    32,490.83x = 596,110,616.91
  5. Step 5: Solve for x
    x = 596,110,616.91/32,490.83
  6. Step 6: Final answer
    x = 18,347.04

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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.