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Finding the Fourth Proportional to 68,251.60, 102,596.10 and 48,665.80

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Solution

The fourth proportional to 68,251.60, 102,596.10 and 48,665.80 is: 73,154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,251.60 : 102,596.10 = 48,665.80 : x
  2. Step 2: Convert to fraction form
    68,251.60/102,596.10 = 48,665.80/x
  3. Step 3: Cross multiply
    68,251.60x = 102,596.10 × 48,665.80
  4. Step 4: Simplify right side
    68,251.60x = 4,992,921,283.38
  5. Step 5: Solve for x
    x = 4,992,921,283.38/68,251.60
  6. Step 6: Final answer
    x = 73,154.64

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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.