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Finding the Fourth Proportional to 70,949.68, 106,424.52 and 18,364.48

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Solution

The fourth proportional to 70,949.68, 106,424.52 and 18,364.48 is: 27,546.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,949.68 : 106,424.52 = 18,364.48 : x
  2. Step 2: Convert to fraction form
    70,949.68/106,424.52 = 18,364.48/x
  3. Step 3: Cross multiply
    70,949.68x = 106,424.52 × 18,364.48
  4. Step 4: Simplify right side
    70,949.68x = 1,954,430,969.05
  5. Step 5: Solve for x
    x = 1,954,430,969.05/70,949.68
  6. Step 6: Final answer
    x = 27,546.72

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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.