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Finding the Fourth Proportional to 46,446.92, 64,097.22 and 25,226.60

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Solution

The fourth proportional to 46,446.92, 64,097.22 and 25,226.60 is: 34,812.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,446.92 : 64,097.22 = 25,226.60 : x
  2. Step 2: Convert to fraction form
    46,446.92/64,097.22 = 25,226.60/x
  3. Step 3: Cross multiply
    46,446.92x = 64,097.22 × 25,226.60
  4. Step 4: Simplify right side
    46,446.92x = 1,616,954,930.05
  5. Step 5: Solve for x
    x = 1,616,954,930.05/46,446.92
  6. Step 6: Final answer
    x = 34,812.96

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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.