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Finding the Fourth Proportional to 30,512.65, 42,103.77 and 17,082.85

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Solution

The fourth proportional to 30,512.65, 42,103.77 and 17,082.85 is: 23,572.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,512.65 : 42,103.77 = 17,082.85 : x
  2. Step 2: Convert to fraction form
    30,512.65/42,103.77 = 17,082.85/x
  3. Step 3: Cross multiply
    30,512.65x = 42,103.77 × 17,082.85
  4. Step 4: Simplify right side
    30,512.65x = 719,252,387.34
  5. Step 5: Solve for x
    x = 719,252,387.34/30,512.65
  6. Step 6: Final answer
    x = 23,572.27

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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.