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Finding the Fourth Proportional to 70,867, 106,300.08 and 18,276.40

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Solution

The fourth proportional to 70,867, 106,300.08 and 18,276.40 is: 27,414.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,867 : 106,300.08 = 18,276.40 : x
  2. Step 2: Convert to fraction form
    70,867/106,300.08 = 18,276.40/x
  3. Step 3: Cross multiply
    70,867x = 106,300.08 × 18,276.40
  4. Step 4: Simplify right side
    70,867x = 1,942,782,782.11
  5. Step 5: Solve for x
    x = 1,942,782,782.11/70,867
  6. Step 6: Final answer
    x = 27,414.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.