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Finding the Fourth Proportional to 32,586, 44,968.72 and 17,682

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Solution

The fourth proportional to 32,586, 44,968.72 and 17,682 is: 24,401.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,586 : 44,968.72 = 17,682 : x
  2. Step 2: Convert to fraction form
    32,586/44,968.72 = 17,682/x
  3. Step 3: Cross multiply
    32,586x = 44,968.72 × 17,682
  4. Step 4: Simplify right side
    32,586x = 795,136,907.04
  5. Step 5: Solve for x
    x = 795,136,907.04/32,586
  6. Step 6: Final answer
    x = 24,401.18

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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.