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Finding the Fourth Proportional to 32,234.32, 44,497.80 and 19,664.08

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Solution

The fourth proportional to 32,234.32, 44,497.80 and 19,664.08 is: 27,145.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,234.32 : 44,497.80 = 19,664.08 : x
  2. Step 2: Convert to fraction form
    32,234.32/44,497.80 = 19,664.08/x
  3. Step 3: Cross multiply
    32,234.32x = 44,497.80 × 19,664.08
  4. Step 4: Simplify right side
    32,234.32x = 875,008,299.02
  5. Step 5: Solve for x
    x = 875,008,299.02/32,234.32
  6. Step 6: Final answer
    x = 27,145.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.