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Finding the Fourth Proportional to 33,006.16, 49,521.84 and 19,867.84

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Solution

The fourth proportional to 33,006.16, 49,521.84 and 19,867.84 is: 29,809.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,006.16 : 49,521.84 = 19,867.84 : x
  2. Step 2: Convert to fraction form
    33,006.16/49,521.84 = 19,867.84/x
  3. Step 3: Cross multiply
    33,006.16x = 49,521.84 × 19,867.84
  4. Step 4: Simplify right side
    33,006.16x = 983,891,993.63
  5. Step 5: Solve for x
    x = 983,891,993.63/33,006.16
  6. Step 6: Final answer
    x = 29,809.34

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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.