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Finding the Fourth Proportional to 33,247, 49,870.44 and 19,386.28

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Solution

The fourth proportional to 33,247, 49,870.44 and 19,386.28 is: 29,079.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,247 : 49,870.44 = 19,386.28 : x
  2. Step 2: Convert to fraction form
    33,247/49,870.44 = 19,386.28/x
  3. Step 3: Cross multiply
    33,247x = 49,870.44 × 19,386.28
  4. Step 4: Simplify right side
    33,247x = 966,802,313.56
  5. Step 5: Solve for x
    x = 966,802,313.56/33,247
  6. Step 6: Final answer
    x = 29,079.39

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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.