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Finding the Fourth Proportional to 32,381.96, 44,677.80 and 20,449.16

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Solution

The fourth proportional to 32,381.96, 44,677.80 and 20,449.16 is: 28,213.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,381.96 : 44,677.80 = 20,449.16 : x
  2. Step 2: Convert to fraction form
    32,381.96/44,677.80 = 20,449.16/x
  3. Step 3: Cross multiply
    32,381.96x = 44,677.80 × 20,449.16
  4. Step 4: Simplify right side
    32,381.96x = 913,623,480.65
  5. Step 5: Solve for x
    x = 913,623,480.65/32,381.96
  6. Step 6: Final answer
    x = 28,213.96

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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.