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Finding the Fourth Proportional to 30,890.25, 42,629.20 and 17,460.70

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Solution

The fourth proportional to 30,890.25, 42,629.20 and 17,460.70 is: 24,096.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,890.25 : 42,629.20 = 17,460.70 : x
  2. Step 2: Convert to fraction form
    30,890.25/42,629.20 = 17,460.70/x
  3. Step 3: Cross multiply
    30,890.25x = 42,629.20 × 17,460.70
  4. Step 4: Simplify right side
    30,890.25x = 744,335,672.44
  5. Step 5: Solve for x
    x = 744,335,672.44/30,890.25
  6. Step 6: Final answer
    x = 24,096.14

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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.