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Finding the Fourth Proportional to 33,051.86, 49,570.49 and 9,680.12

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Solution

The fourth proportional to 33,051.86, 49,570.49 and 9,680.12 is: 14,518.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,051.86 : 49,570.49 = 9,680.12 : x
  2. Step 2: Convert to fraction form
    33,051.86/49,570.49 = 9,680.12/x
  3. Step 3: Cross multiply
    33,051.86x = 49,570.49 × 9,680.12
  4. Step 4: Simplify right side
    33,051.86x = 479,847,995.41
  5. Step 5: Solve for x
    x = 479,847,995.41/33,051.86
  6. Step 6: Final answer
    x = 14,518.04

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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.