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Finding the Fourth Proportional to 30,082.41, 41,509.07 and 17,336.19

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Solution

The fourth proportional to 30,082.41, 41,509.07 and 17,336.19 is: 23,921.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,082.41 : 41,509.07 = 17,336.19 : x
  2. Step 2: Convert to fraction form
    30,082.41/41,509.07 = 17,336.19/x
  3. Step 3: Cross multiply
    30,082.41x = 41,509.07 × 17,336.19
  4. Step 4: Simplify right side
    30,082.41x = 719,609,124.24
  5. Step 5: Solve for x
    x = 719,609,124.24/30,082.41
  6. Step 6: Final answer
    x = 23,921.26

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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.