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Finding the Fourth Proportional to 33,153.65, 49,742.36 and 16,512.20

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Solution

The fourth proportional to 33,153.65, 49,742.36 and 16,512.20 is: 24,774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,153.65 : 49,742.36 = 16,512.20 : x
  2. Step 2: Convert to fraction form
    33,153.65/49,742.36 = 16,512.20/x
  3. Step 3: Cross multiply
    33,153.65x = 49,742.36 × 16,512.20
  4. Step 4: Simplify right side
    33,153.65x = 821,355,714.23
  5. Step 5: Solve for x
    x = 821,355,714.23/33,153.65
  6. Step 6: Final answer
    x = 24,774.22

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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.