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Finding the Fourth Proportional to 68,244.66, 102,366.87 and 30,817.86

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Solution

The fourth proportional to 68,244.66, 102,366.87 and 30,817.86 is: 46,226.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,244.66 : 102,366.87 = 30,817.86 : x
  2. Step 2: Convert to fraction form
    68,244.66/102,366.87 = 30,817.86/x
  3. Step 3: Cross multiply
    68,244.66x = 102,366.87 × 30,817.86
  4. Step 4: Simplify right side
    68,244.66x = 3,154,727,868.30
  5. Step 5: Solve for x
    x = 3,154,727,868.30/68,244.66
  6. Step 6: Final answer
    x = 46,226.74

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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.