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Finding the Fourth Proportional to 50,808, 76,214.16 and 13,872

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Solution

The fourth proportional to 50,808, 76,214.16 and 13,872 is: 20,808.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,808 : 76,214.16 = 13,872 : x
  2. Step 2: Convert to fraction form
    50,808/76,214.16 = 13,872/x
  3. Step 3: Cross multiply
    50,808x = 76,214.16 × 13,872
  4. Step 4: Simplify right side
    50,808x = 1,057,242,827.52
  5. Step 5: Solve for x
    x = 1,057,242,827.52/50,808
  6. Step 6: Final answer
    x = 20,808.59

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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.