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Finding the Fourth Proportional to 50,940.82, 76,403.80 and 13,503.16

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Solution

The fourth proportional to 50,940.82, 76,403.80 and 13,503.16 is: 20,252.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,940.82 : 76,403.80 = 13,503.16 : x
  2. Step 2: Convert to fraction form
    50,940.82/76,403.80 = 13,503.16/x
  3. Step 3: Cross multiply
    50,940.82x = 76,403.80 × 13,503.16
  4. Step 4: Simplify right side
    50,940.82x = 1,031,692,736.01
  5. Step 5: Solve for x
    x = 1,031,692,736.01/50,940.82
  6. Step 6: Final answer
    x = 20,252.77

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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.