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Finding the Fourth Proportional to 30,540.58, 42,145.70 and 17,112.40

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Solution

The fourth proportional to 30,540.58, 42,145.70 and 17,112.40 is: 23,614.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,540.58 : 42,145.70 = 17,112.40 : x
  2. Step 2: Convert to fraction form
    30,540.58/42,145.70 = 17,112.40/x
  3. Step 3: Cross multiply
    30,540.58x = 42,145.70 × 17,112.40
  4. Step 4: Simplify right side
    30,540.58x = 721,214,076.68
  5. Step 5: Solve for x
    x = 721,214,076.68/30,540.58
  6. Step 6: Final answer
    x = 23,614.94

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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.