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Finding the Fourth Proportional to 68,596.86, 102,903.52 and 24,214.52

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Solution

The fourth proportional to 68,596.86, 102,903.52 and 24,214.52 is: 36,324.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,596.86 : 102,903.52 = 24,214.52 : x
  2. Step 2: Convert to fraction form
    68,596.86/102,903.52 = 24,214.52/x
  3. Step 3: Cross multiply
    68,596.86x = 102,903.52 × 24,214.52
  4. Step 4: Simplify right side
    68,596.86x = 2,491,759,343.11
  5. Step 5: Solve for x
    x = 2,491,759,343.11/68,596.86
  6. Step 6: Final answer
    x = 36,324.69

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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.