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Finding the Fourth Proportional to 32,321.92, 48,449.44 and 12,326.03

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Solution

The fourth proportional to 32,321.92, 48,449.44 and 12,326.03 is: 18,476.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,321.92 : 48,449.44 = 12,326.03 : x
  2. Step 2: Convert to fraction form
    32,321.92/48,449.44 = 12,326.03/x
  3. Step 3: Cross multiply
    32,321.92x = 48,449.44 × 12,326.03
  4. Step 4: Simplify right side
    32,321.92x = 597,189,341.23
  5. Step 5: Solve for x
    x = 597,189,341.23/32,321.92
  6. Step 6: Final answer
    x = 18,476.30

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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.