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Finding the Fourth Proportional to 70,847.46, 106,274.16 and 26,469.72

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Solution

The fourth proportional to 70,847.46, 106,274.16 and 26,469.72 is: 39,705.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,847.46 : 106,274.16 = 26,469.72 : x
  2. Step 2: Convert to fraction form
    70,847.46/106,274.16 = 26,469.72/x
  3. Step 3: Cross multiply
    70,847.46x = 106,274.16 × 26,469.72
  4. Step 4: Simplify right side
    70,847.46x = 2,813,047,258.44
  5. Step 5: Solve for x
    x = 2,813,047,258.44/70,847.46
  6. Step 6: Final answer
    x = 39,705.69

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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.