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Finding the Fourth Proportional to 33,542.30, 50,312.93 and 8,582.13

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Solution

The fourth proportional to 33,542.30, 50,312.93 and 8,582.13 is: 12,873.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,542.30 : 50,312.93 = 8,582.13 : x
  2. Step 2: Convert to fraction form
    33,542.30/50,312.93 = 8,582.13/x
  3. Step 3: Cross multiply
    33,542.30x = 50,312.93 × 8,582.13
  4. Step 4: Simplify right side
    33,542.30x = 431,792,063.03
  5. Step 5: Solve for x
    x = 431,792,063.03/33,542.30
  6. Step 6: Final answer
    x = 12,873.06

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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.