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Finding the Fourth Proportional to 49,571.82, 74,385 and 21,492.09

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Solution

The fourth proportional to 49,571.82, 74,385 and 21,492.09 is: 32,249.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,571.82 : 74,385 = 21,492.09 : x
  2. Step 2: Convert to fraction form
    49,571.82/74,385 = 21,492.09/x
  3. Step 3: Cross multiply
    49,571.82x = 74,385 × 21,492.09
  4. Step 4: Simplify right side
    49,571.82x = 1,598,689,114.65
  5. Step 5: Solve for x
    x = 1,598,689,114.65/49,571.82
  6. Step 6: Final answer
    x = 32,249.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.