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Finding the Fourth Proportional to 78,829.70, 108,784.97 and 50,535.38

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Solution

The fourth proportional to 78,829.70, 108,784.97 and 50,535.38 is: 69,738.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,829.70 : 108,784.97 = 50,535.38 : x
  2. Step 2: Convert to fraction form
    78,829.70/108,784.97 = 50,535.38/x
  3. Step 3: Cross multiply
    78,829.70x = 108,784.97 × 50,535.38
  4. Step 4: Simplify right side
    78,829.70x = 5,497,489,000.64
  5. Step 5: Solve for x
    x = 5,497,489,000.64/78,829.70
  6. Step 6: Final answer
    x = 69,738.81

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