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Finding the Fourth Proportional to 30,390.46, 41,971.17 and 23,142.85

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Solution

The fourth proportional to 30,390.46, 41,971.17 and 23,142.85 is: 31,961.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,390.46 : 41,971.17 = 23,142.85 : x
  2. Step 2: Convert to fraction form
    30,390.46/41,971.17 = 23,142.85/x
  3. Step 3: Cross multiply
    30,390.46x = 41,971.17 × 23,142.85
  4. Step 4: Simplify right side
    30,390.46x = 971,332,491.63
  5. Step 5: Solve for x
    x = 971,332,491.63/30,390.46
  6. Step 6: Final answer
    x = 31,961.76

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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.