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Finding the Fourth Proportional to 34,046.92, 46,946.01 and 23,972.14

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Solution

The fourth proportional to 34,046.92, 46,946.01 and 23,972.14 is: 33,054.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,046.92 : 46,946.01 = 23,972.14 : x
  2. Step 2: Convert to fraction form
    34,046.92/46,946.01 = 23,972.14/x
  3. Step 3: Cross multiply
    34,046.92x = 46,946.01 × 23,972.14
  4. Step 4: Simplify right side
    34,046.92x = 1,125,396,324.16
  5. Step 5: Solve for x
    x = 1,125,396,324.16/34,046.92
  6. Step 6: Final answer
    x = 33,054.28

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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.