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Finding the Fourth Proportional to 30,274, 41,780.68 and 17,028.56

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Solution

The fourth proportional to 30,274, 41,780.68 and 17,028.56 is: 23,500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,274 : 41,780.68 = 17,028.56 : x
  2. Step 2: Convert to fraction form
    30,274/41,780.68 = 17,028.56/x
  3. Step 3: Cross multiply
    30,274x = 41,780.68 × 17,028.56
  4. Step 4: Simplify right side
    30,274x = 711,464,816.22
  5. Step 5: Solve for x
    x = 711,464,816.22/30,274
  6. Step 6: Final answer
    x = 23,500.85

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