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Finding the Fourth Proportional to 50,788, 76,182.18 and 13,852

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Solution

The fourth proportional to 50,788, 76,182.18 and 13,852 is: 20,778.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,788 : 76,182.18 = 13,852 : x
  2. Step 2: Convert to fraction form
    50,788/76,182.18 = 13,852/x
  3. Step 3: Cross multiply
    50,788x = 76,182.18 × 13,852
  4. Step 4: Simplify right side
    50,788x = 1,055,275,557.36
  5. Step 5: Solve for x
    x = 1,055,275,557.36/50,788
  6. Step 6: Final answer
    x = 20,778.05

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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.