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Finding the Fourth Proportional to 50,848, 76,277.28 and 13,912

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Solution

The fourth proportional to 50,848, 76,277.28 and 13,912 is: 20,869.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,848 : 76,277.28 = 13,912 : x
  2. Step 2: Convert to fraction form
    50,848/76,277.28 = 13,912/x
  3. Step 3: Cross multiply
    50,848x = 76,277.28 × 13,912
  4. Step 4: Simplify right side
    50,848x = 1,061,169,519.36
  5. Step 5: Solve for x
    x = 1,061,169,519.36/50,848
  6. Step 6: Final answer
    x = 20,869.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.