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Finding the Fourth Proportional to 50,724, 76,086.18 and 13,788

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Solution

The fourth proportional to 50,724, 76,086.18 and 13,788 is: 20,682.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,724 : 76,086.18 = 13,788 : x
  2. Step 2: Convert to fraction form
    50,724/76,086.18 = 13,788/x
  3. Step 3: Cross multiply
    50,724x = 76,086.18 × 13,788
  4. Step 4: Simplify right side
    50,724x = 1,049,076,249.84
  5. Step 5: Solve for x
    x = 1,049,076,249.84/50,724
  6. Step 6: Final answer
    x = 20,682.05

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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.