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Finding the Fourth Proportional to 50,845, 70,166.12 and 30,973

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Solution

The fourth proportional to 50,845, 70,166.12 and 30,973 is: 42,742.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,845 : 70,166.12 = 30,973 : x
  2. Step 2: Convert to fraction form
    50,845/70,166.12 = 30,973/x
  3. Step 3: Cross multiply
    50,845x = 70,166.12 × 30,973
  4. Step 4: Simplify right side
    50,845x = 2,173,255,234.76
  5. Step 5: Solve for x
    x = 2,173,255,234.76/50,845
  6. Step 6: Final answer
    x = 42,742.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.