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Finding the Fourth Proportional to 70,874.40, 106,311.84 and 33,422.40

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Solution

The fourth proportional to 70,874.40, 106,311.84 and 33,422.40 is: 50,133.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,874.40 : 106,311.84 = 33,422.40 : x
  2. Step 2: Convert to fraction form
    70,874.40/106,311.84 = 33,422.40/x
  3. Step 3: Cross multiply
    70,874.40x = 106,311.84 × 33,422.40
  4. Step 4: Simplify right side
    70,874.40x = 3,553,196,841.22
  5. Step 5: Solve for x
    x = 3,553,196,841.22/70,874.40
  6. Step 6: Final answer
    x = 50,133.71

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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.