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Finding the Fourth Proportional to 30,512.57, 42,106.11 and 17,766.12

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Solution

The fourth proportional to 30,512.57, 42,106.11 and 17,766.12 is: 24,516.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,512.57 : 42,106.11 = 17,766.12 : x
  2. Step 2: Convert to fraction form
    30,512.57/42,106.11 = 17,766.12/x
  3. Step 3: Cross multiply
    30,512.57x = 42,106.11 × 17,766.12
  4. Step 4: Simplify right side
    30,512.57x = 748,062,202.99
  5. Step 5: Solve for x
    x = 748,062,202.99/30,512.57
  6. Step 6: Final answer
    x = 24,516.53

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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.