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Finding the Fourth Proportional to 30,971.53, 46,223.24 and 27,982.18

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Solution

The fourth proportional to 30,971.53, 46,223.24 and 27,982.18 is: 41,761.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,971.53 : 46,223.24 = 27,982.18 : x
  2. Step 2: Convert to fraction form
    30,971.53/46,223.24 = 27,982.18/x
  3. Step 3: Cross multiply
    30,971.53x = 46,223.24 × 27,982.18
  4. Step 4: Simplify right side
    30,971.53x = 1,293,426,790.75
  5. Step 5: Solve for x
    x = 1,293,426,790.75/30,971.53
  6. Step 6: Final answer
    x = 41,761.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.