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Finding the Fourth Proportional to 34,046.34, 46,983.92 and 19,142.34

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Solution

The fourth proportional to 34,046.34, 46,983.92 and 19,142.34 is: 26,416.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,046.34 : 46,983.92 = 19,142.34 : x
  2. Step 2: Convert to fraction form
    34,046.34/46,983.92 = 19,142.34/x
  3. Step 3: Cross multiply
    34,046.34x = 46,983.92 × 19,142.34
  4. Step 4: Simplify right side
    34,046.34x = 899,382,171.17
  5. Step 5: Solve for x
    x = 899,382,171.17/34,046.34
  6. Step 6: Final answer
    x = 26,416.41

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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.