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Finding the Fourth Proportional to 30,784.19, 42,481.87 and 17,359.79

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Solution

The fourth proportional to 30,784.19, 42,481.87 and 17,359.79 is: 23,956.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,784.19 : 42,481.87 = 17,359.79 : x
  2. Step 2: Convert to fraction form
    30,784.19/42,481.87 = 17,359.79/x
  3. Step 3: Cross multiply
    30,784.19x = 42,481.87 × 17,359.79
  4. Step 4: Simplify right side
    30,784.19x = 737,476,086.20
  5. Step 5: Solve for x
    x = 737,476,086.20/30,784.19
  6. Step 6: Final answer
    x = 23,956.32

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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.