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Finding the Fourth Proportional to 32,234.40, 48,406.13 and 21,008.81

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Solution

The fourth proportional to 32,234.40, 48,406.13 and 21,008.81 is: 31,548.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,234.40 : 48,406.13 = 21,008.81 : x
  2. Step 2: Convert to fraction form
    32,234.40/48,406.13 = 21,008.81/x
  3. Step 3: Cross multiply
    32,234.40x = 48,406.13 × 21,008.81
  4. Step 4: Simplify right side
    32,234.40x = 1,016,954,840.93
  5. Step 5: Solve for x
    x = 1,016,954,840.93/32,234.40
  6. Step 6: Final answer
    x = 31,548.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.