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Finding the Fourth Proportional to 49,134.24, 67,805.47 and 27,914.67

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Solution

The fourth proportional to 49,134.24, 67,805.47 and 27,914.67 is: 38,522.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,134.24 : 67,805.47 = 27,914.67 : x
  2. Step 2: Convert to fraction form
    49,134.24/67,805.47 = 27,914.67/x
  3. Step 3: Cross multiply
    49,134.24x = 67,805.47 × 27,914.67
  4. Step 4: Simplify right side
    49,134.24x = 1,892,767,319.24
  5. Step 5: Solve for x
    x = 1,892,767,319.24/49,134.24
  6. Step 6: Final answer
    x = 38,522.37

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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.