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Finding the Fourth Proportional to 70,834.60, 106,258.30 and 18,244.20

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Solution

The fourth proportional to 70,834.60, 106,258.30 and 18,244.20 is: 27,367.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,834.60 : 106,258.30 = 18,244.20 : x
  2. Step 2: Convert to fraction form
    70,834.60/106,258.30 = 18,244.20/x
  3. Step 3: Cross multiply
    70,834.60x = 106,258.30 × 18,244.20
  4. Step 4: Simplify right side
    70,834.60x = 1,938,597,676.86
  5. Step 5: Solve for x
    x = 1,938,597,676.86/70,834.60
  6. Step 6: Final answer
    x = 27,367.95

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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.