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Finding the Fourth Proportional to 34,881, 48,125.14 and 19,771.24

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Solution

The fourth proportional to 34,881, 48,125.14 and 19,771.24 is: 27,278.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,881 : 48,125.14 = 19,771.24 : x
  2. Step 2: Convert to fraction form
    34,881/48,125.14 = 19,771.24/x
  3. Step 3: Cross multiply
    34,881x = 48,125.14 × 19,771.24
  4. Step 4: Simplify right side
    34,881x = 951,493,692.97
  5. Step 5: Solve for x
    x = 951,493,692.97/34,881
  6. Step 6: Final answer
    x = 27,278.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.