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Finding the Fourth Proportional to 50,668.50, 76,003.02 and 13,732.50

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Solution

The fourth proportional to 50,668.50, 76,003.02 and 13,732.50 is: 20,598.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,668.50 : 76,003.02 = 13,732.50 : x
  2. Step 2: Convert to fraction form
    50,668.50/76,003.02 = 13,732.50/x
  3. Step 3: Cross multiply
    50,668.50x = 76,003.02 × 13,732.50
  4. Step 4: Simplify right side
    50,668.50x = 1,043,711,472.15
  5. Step 5: Solve for x
    x = 1,043,711,472.15/50,668.50
  6. Step 6: Final answer
    x = 20,598.82

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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.