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Finding the Fourth Proportional to 33,114.80, 49,672.20 and 20,673.20

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Solution

The fourth proportional to 33,114.80, 49,672.20 and 20,673.20 is: 31,009.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,114.80 : 49,672.20 = 20,673.20 : x
  2. Step 2: Convert to fraction form
    33,114.80/49,672.20 = 20,673.20/x
  3. Step 3: Cross multiply
    33,114.80x = 49,672.20 × 20,673.20
  4. Step 4: Simplify right side
    33,114.80x = 1,026,883,325.04
  5. Step 5: Solve for x
    x = 1,026,883,325.04/33,114.80
  6. Step 6: Final answer
    x = 31,009.80

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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.