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Finding the Fourth Proportional to 70,446.21, 105,704.04 and 32,999.81

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Solution

The fourth proportional to 70,446.21, 105,704.04 and 32,999.81 is: 49,515.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,446.21 : 105,704.04 = 32,999.81 : x
  2. Step 2: Convert to fraction form
    70,446.21/105,704.04 = 32,999.81/x
  3. Step 3: Cross multiply
    70,446.21x = 105,704.04 × 32,999.81
  4. Step 4: Simplify right side
    70,446.21x = 3,488,212,645.84
  5. Step 5: Solve for x
    x = 3,488,212,645.84/70,446.21
  6. Step 6: Final answer
    x = 49,515.98

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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.