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Finding the Fourth Proportional to 33,230.32, 45,863.12 and 19,809.34

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Solution

The fourth proportional to 33,230.32, 45,863.12 and 19,809.34 is: 27,340.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,230.32 : 45,863.12 = 19,809.34 : x
  2. Step 2: Convert to fraction form
    33,230.32/45,863.12 = 19,809.34/x
  3. Step 3: Cross multiply
    33,230.32x = 45,863.12 × 19,809.34
  4. Step 4: Simplify right side
    33,230.32x = 908,518,137.54
  5. Step 5: Solve for x
    x = 908,518,137.54/33,230.32
  6. Step 6: Final answer
    x = 27,340.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.