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Finding the Fourth Proportional to 30,538.35, 45,812.97 and 15,743.28

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Solution

The fourth proportional to 30,538.35, 45,812.97 and 15,743.28 is: 23,617.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,538.35 : 45,812.97 = 15,743.28 : x
  2. Step 2: Convert to fraction form
    30,538.35/45,812.97 = 15,743.28/x
  3. Step 3: Cross multiply
    30,538.35x = 45,812.97 × 15,743.28
  4. Step 4: Simplify right side
    30,538.35x = 721,246,414.34
  5. Step 5: Solve for x
    x = 721,246,414.34/30,538.35
  6. Step 6: Final answer
    x = 23,617.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.