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Finding the Fourth Proportional to 68,138.60, 102,137.70 and 30,716.60

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Solution

The fourth proportional to 68,138.60, 102,137.70 and 30,716.60 is: 46,043.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,138.60 : 102,137.70 = 30,716.60 : x
  2. Step 2: Convert to fraction form
    68,138.60/102,137.70 = 30,716.60/x
  3. Step 3: Cross multiply
    68,138.60x = 102,137.70 × 30,716.60
  4. Step 4: Simplify right side
    68,138.60x = 3,137,322,875.82
  5. Step 5: Solve for x
    x = 3,137,322,875.82/68,138.60
  6. Step 6: Final answer
    x = 46,043.25

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1.5x scale

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.