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Finding the Fourth Proportional to 32,225.92, 44,449.24 and 31,142.16

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Solution

The fourth proportional to 32,225.92, 44,449.24 and 31,142.16 is: 42,954.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,225.92 : 44,449.24 = 31,142.16 : x
  2. Step 2: Convert to fraction form
    32,225.92/44,449.24 = 31,142.16/x
  3. Step 3: Cross multiply
    32,225.92x = 44,449.24 × 31,142.16
  4. Step 4: Simplify right side
    32,225.92x = 1,384,245,343.96
  5. Step 5: Solve for x
    x = 1,384,245,343.96/32,225.92
  6. Step 6: Final answer
    x = 42,954.41

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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.