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Finding the Fourth Proportional to 68,576.58, 102,873.09 and 24,194.16

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Solution

The fourth proportional to 68,576.58, 102,873.09 and 24,194.16 is: 36,294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,576.58 : 102,873.09 = 24,194.16 : x
  2. Step 2: Convert to fraction form
    68,576.58/102,873.09 = 24,194.16/x
  3. Step 3: Cross multiply
    68,576.58x = 102,873.09 × 24,194.16
  4. Step 4: Simplify right side
    68,576.58x = 2,488,927,999.15
  5. Step 5: Solve for x
    x = 2,488,927,999.15/68,576.58
  6. Step 6: Final answer
    x = 36,294.14

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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.