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Finding the Fourth Proportional to 32,306.25, 44,578.74 and 17,962.49

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Solution

The fourth proportional to 32,306.25, 44,578.74 and 17,962.49 is: 24,786.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,306.25 : 44,578.74 = 17,962.49 : x
  2. Step 2: Convert to fraction form
    32,306.25/44,578.74 = 17,962.49/x
  3. Step 3: Cross multiply
    32,306.25x = 44,578.74 × 17,962.49
  4. Step 4: Simplify right side
    32,306.25x = 800,744,948.57
  5. Step 5: Solve for x
    x = 800,744,948.57/32,306.25
  6. Step 6: Final answer
    x = 24,786.07

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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.