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Finding the Fourth Proportional to 33,214.34, 49,821.34 and 14,236.20

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Solution

The fourth proportional to 33,214.34, 49,821.34 and 14,236.20 is: 21,354.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,214.34 : 49,821.34 = 14,236.20 : x
  2. Step 2: Convert to fraction form
    33,214.34/49,821.34 = 14,236.20/x
  3. Step 3: Cross multiply
    33,214.34x = 49,821.34 × 14,236.20
  4. Step 4: Simplify right side
    33,214.34x = 709,266,560.51
  5. Step 5: Solve for x
    x = 709,266,560.51/33,214.34
  6. Step 6: Final answer
    x = 21,354.23

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1.5x scale

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.