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Finding the Fourth Proportional to 33,248.70, 49,830 and 13,504.34

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Solution

The fourth proportional to 33,248.70, 49,830 and 13,504.34 is: 20,239.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,248.70 : 49,830 = 13,504.34 : x
  2. Step 2: Convert to fraction form
    33,248.70/49,830 = 13,504.34/x
  3. Step 3: Cross multiply
    33,248.70x = 49,830 × 13,504.34
  4. Step 4: Simplify right side
    33,248.70x = 672,921,013.05
  5. Step 5: Solve for x
    x = 672,921,013.05/33,248.70
  6. Step 6: Final answer
    x = 20,239.02

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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.