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Finding the Fourth Proportional to 43,716.84, 65,447.68 and 32,521.84

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Solution

The fourth proportional to 43,716.84, 65,447.68 and 32,521.84 is: 48,687.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,716.84 : 65,447.68 = 32,521.84 : x
  2. Step 2: Convert to fraction form
    43,716.84/65,447.68 = 32,521.84/x
  3. Step 3: Cross multiply
    43,716.84x = 65,447.68 × 32,521.84
  4. Step 4: Simplify right side
    43,716.84x = 2,128,478,977.33
  5. Step 5: Solve for x
    x = 2,128,478,977.33/43,716.84
  6. Step 6: Final answer
    x = 48,687.85

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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.