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Finding the Fourth Proportional to 68,111, 102,166.50 and 18,863

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Solution

The fourth proportional to 68,111, 102,166.50 and 18,863 is: 28,294.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,111 : 102,166.50 = 18,863 : x
  2. Step 2: Convert to fraction form
    68,111/102,166.50 = 18,863/x
  3. Step 3: Cross multiply
    68,111x = 102,166.50 × 18,863
  4. Step 4: Simplify right side
    68,111x = 1,927,166,689.50
  5. Step 5: Solve for x
    x = 1,927,166,689.50/68,111
  6. Step 6: Final answer
    x = 28,294.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.