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Finding the Fourth Proportional to 30,994.56, 42,774.48 and 17,383.88

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Solution

The fourth proportional to 30,994.56, 42,774.48 and 17,383.88 is: 23,990.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,994.56 : 42,774.48 = 17,383.88 : x
  2. Step 2: Convert to fraction form
    30,994.56/42,774.48 = 17,383.88/x
  3. Step 3: Cross multiply
    30,994.56x = 42,774.48 × 17,383.88
  4. Step 4: Simplify right side
    30,994.56x = 743,586,427.38
  5. Step 5: Solve for x
    x = 743,586,427.38/30,994.56
  6. Step 6: Final answer
    x = 23,990.87

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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.