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Finding the Fourth Proportional to 30,180.14, 41,647.82 and 16,751

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Solution

The fourth proportional to 30,180.14, 41,647.82 and 16,751 is: 23,115.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,180.14 : 41,647.82 = 16,751 : x
  2. Step 2: Convert to fraction form
    30,180.14/41,647.82 = 16,751/x
  3. Step 3: Cross multiply
    30,180.14x = 41,647.82 × 16,751
  4. Step 4: Simplify right side
    30,180.14x = 697,642,549.07
  5. Step 5: Solve for x
    x = 697,642,549.07/30,180.14
  6. Step 6: Final answer
    x = 23,115.95

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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.