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Finding the Fourth Proportional to 30,763.73, 42,454.83 and 17,334.24

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Solution

The fourth proportional to 30,763.73, 42,454.83 and 17,334.24 is: 23,921.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,763.73 : 42,454.83 = 17,334.24 : x
  2. Step 2: Convert to fraction form
    30,763.73/42,454.83 = 17,334.24/x
  3. Step 3: Cross multiply
    30,763.73x = 42,454.83 × 17,334.24
  4. Step 4: Simplify right side
    30,763.73x = 735,922,212.38
  5. Step 5: Solve for x
    x = 735,922,212.38/30,763.73
  6. Step 6: Final answer
    x = 23,921.75

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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.