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Finding the Fourth Proportional to 43,824.69, 65,689.64 and 17,500.50

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Solution

The fourth proportional to 43,824.69, 65,689.64 and 17,500.50 is: 26,231.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,824.69 : 65,689.64 = 17,500.50 : x
  2. Step 2: Convert to fraction form
    43,824.69/65,689.64 = 17,500.50/x
  3. Step 3: Cross multiply
    43,824.69x = 65,689.64 × 17,500.50
  4. Step 4: Simplify right side
    43,824.69x = 1,149,601,588.57
  5. Step 5: Solve for x
    x = 1,149,601,588.57/43,824.69
  6. Step 6: Final answer
    x = 26,231.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.