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Finding the Fourth Proportional to 30,782.70, 46,175.49 and 15,982.26

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Solution

The fourth proportional to 30,782.70, 46,175.49 and 15,982.26 is: 23,974.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,782.70 : 46,175.49 = 15,982.26 : x
  2. Step 2: Convert to fraction form
    30,782.70/46,175.49 = 15,982.26/x
  3. Step 3: Cross multiply
    30,782.70x = 46,175.49 × 15,982.26
  4. Step 4: Simplify right side
    30,782.70x = 737,988,686.81
  5. Step 5: Solve for x
    x = 737,988,686.81/30,782.70
  6. Step 6: Final answer
    x = 23,974.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.