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Finding the Fourth Proportional to 34,884, 48,129.28 and 19,774.24

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Solution

The fourth proportional to 34,884, 48,129.28 and 19,774.24 is: 27,282.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,884 : 48,129.28 = 19,774.24 : x
  2. Step 2: Convert to fraction form
    34,884/48,129.28 = 19,774.24/x
  3. Step 3: Cross multiply
    34,884x = 48,129.28 × 19,774.24
  4. Step 4: Simplify right side
    34,884x = 951,719,933.75
  5. Step 5: Solve for x
    x = 951,719,933.75/34,884
  6. Step 6: Final answer
    x = 27,282.42

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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.