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Finding the Fourth Proportional to 30,469.16, 42,034.70 and 23,743.14

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Solution

The fourth proportional to 30,469.16, 42,034.70 and 23,743.14 is: 32,755.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,469.16 : 42,034.70 = 23,743.14 : x
  2. Step 2: Convert to fraction form
    30,469.16/42,034.70 = 23,743.14/x
  3. Step 3: Cross multiply
    30,469.16x = 42,034.70 × 23,743.14
  4. Step 4: Simplify right side
    30,469.16x = 998,035,766.96
  5. Step 5: Solve for x
    x = 998,035,766.96/30,469.16
  6. Step 6: Final answer
    x = 32,755.60

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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.