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Finding the Fourth Proportional to 30,513.96, 42,108 and 17,082.78

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Solution

The fourth proportional to 30,513.96, 42,108 and 17,082.78 is: 23,573.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,513.96 : 42,108 = 17,082.78 : x
  2. Step 2: Convert to fraction form
    30,513.96/42,108 = 17,082.78/x
  3. Step 3: Cross multiply
    30,513.96x = 42,108 × 17,082.78
  4. Step 4: Simplify right side
    30,513.96x = 719,321,700.24
  5. Step 5: Solve for x
    x = 719,321,700.24/30,513.96
  6. Step 6: Final answer
    x = 23,573.53

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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.