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Finding the Fourth Proportional to 30,908.14, 42,654.25 and 17,481.58

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Solution

The fourth proportional to 30,908.14, 42,654.25 and 17,481.58 is: 24,125.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,908.14 : 42,654.25 = 17,481.58 : x
  2. Step 2: Convert to fraction form
    30,908.14/42,654.25 = 17,481.58/x
  3. Step 3: Cross multiply
    30,908.14x = 42,654.25 × 17,481.58
  4. Step 4: Simplify right side
    30,908.14x = 745,663,683.72
  5. Step 5: Solve for x
    x = 745,663,683.72/30,908.14
  6. Step 6: Final answer
    x = 24,125.16

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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.