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Finding the Fourth Proportional to 70,735.34, 106,103.07 and 18,144.83

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Solution

The fourth proportional to 70,735.34, 106,103.07 and 18,144.83 is: 27,217.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,735.34 : 106,103.07 = 18,144.83 : x
  2. Step 2: Convert to fraction form
    70,735.34/106,103.07 = 18,144.83/x
  3. Step 3: Cross multiply
    70,735.34x = 106,103.07 × 18,144.83
  4. Step 4: Simplify right side
    70,735.34x = 1,925,222,167.63
  5. Step 5: Solve for x
    x = 1,925,222,167.63/70,735.34
  6. Step 6: Final answer
    x = 27,217.26

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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.