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Finding the Fourth Proportional to 50,249.84, 69,346.68 and 27,898.16

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Solution

The fourth proportional to 50,249.84, 69,346.68 and 27,898.16 is: 38,500.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,249.84 : 69,346.68 = 27,898.16 : x
  2. Step 2: Convert to fraction form
    50,249.84/69,346.68 = 27,898.16/x
  3. Step 3: Cross multiply
    50,249.84x = 69,346.68 × 27,898.16
  4. Step 4: Simplify right side
    50,249.84x = 1,934,644,774.11
  5. Step 5: Solve for x
    x = 1,934,644,774.11/50,249.84
  6. Step 6: Final answer
    x = 38,500.52

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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.