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Finding the Fourth Proportional to 33,509.67, 50,253.35 and 13,514.00

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Solution

The fourth proportional to 33,509.67, 50,253.35 and 13,514.00 is: 20,266.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,509.67 : 50,253.35 = 13,514.00 : x
  2. Step 2: Convert to fraction form
    33,509.67/50,253.35 = 13,514.00/x
  3. Step 3: Cross multiply
    33,509.67x = 50,253.35 × 13,514.00
  4. Step 4: Simplify right side
    33,509.67x = 679,123,453.06
  5. Step 5: Solve for x
    x = 679,123,453.06/33,509.67
  6. Step 6: Final answer
    x = 20,266.49

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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.