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Finding the Fourth Proportional to 32,184.27, 44,416.76 and 20,257.83

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Solution

The fourth proportional to 32,184.27, 44,416.76 and 20,257.83 is: 27,957.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,184.27 : 44,416.76 = 20,257.83 : x
  2. Step 2: Convert to fraction form
    32,184.27/44,416.76 = 20,257.83/x
  3. Step 3: Cross multiply
    32,184.27x = 44,416.76 × 20,257.83
  4. Step 4: Simplify right side
    32,184.27x = 899,787,071.94
  5. Step 5: Solve for x
    x = 899,787,071.94/32,184.27
  6. Step 6: Final answer
    x = 27,957.36

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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.