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Finding the Fourth Proportional to 68,733.20, 103,051.20 and 31,311.20

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Solution

The fourth proportional to 68,733.20, 103,051.20 and 31,311.20 is: 46,944.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,733.20 : 103,051.20 = 31,311.20 : x
  2. Step 2: Convert to fraction form
    68,733.20/103,051.20 = 31,311.20/x
  3. Step 3: Cross multiply
    68,733.20x = 103,051.20 × 31,311.20
  4. Step 4: Simplify right side
    68,733.20x = 3,226,656,733.44
  5. Step 5: Solve for x
    x = 3,226,656,733.44/68,733.20
  6. Step 6: Final answer
    x = 46,944.66

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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.