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Finding the Fourth Proportional to 111,212.94, 166,822.14 and 32,327.84

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Solution

The fourth proportional to 111,212.94, 166,822.14 and 32,327.84 is: 48,492.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,212.94 : 166,822.14 = 32,327.84 : x
  2. Step 2: Convert to fraction form
    111,212.94/166,822.14 = 32,327.84/x
  3. Step 3: Cross multiply
    111,212.94x = 166,822.14 × 32,327.84
  4. Step 4: Simplify right side
    111,212.94x = 5,392,999,450.38
  5. Step 5: Solve for x
    x = 5,392,999,450.38/111,212.94
  6. Step 6: Final answer
    x = 48,492.55

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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.