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Finding the Fourth Proportional to 28,537.84, 39,391.32 and 20,042

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Solution

The fourth proportional to 28,537.84, 39,391.32 and 20,042 is: 27,664.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,537.84 : 39,391.32 = 20,042 : x
  2. Step 2: Convert to fraction form
    28,537.84/39,391.32 = 20,042/x
  3. Step 3: Cross multiply
    28,537.84x = 39,391.32 × 20,042
  4. Step 4: Simplify right side
    28,537.84x = 789,480,835.44
  5. Step 5: Solve for x
    x = 789,480,835.44/28,537.84
  6. Step 6: Final answer
    x = 27,664.35

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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.