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Finding the Fourth Proportional to 50,416.92, 69,572.94 and 27,755.44

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Solution

The fourth proportional to 50,416.92, 69,572.94 and 27,755.44 is: 38,301.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,416.92 : 69,572.94 = 27,755.44 : x
  2. Step 2: Convert to fraction form
    50,416.92/69,572.94 = 27,755.44/x
  3. Step 3: Cross multiply
    50,416.92x = 69,572.94 × 27,755.44
  4. Step 4: Simplify right side
    50,416.92x = 1,931,027,561.79
  5. Step 5: Solve for x
    x = 1,931,027,561.79/50,416.92
  6. Step 6: Final answer
    x = 38,301.18

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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.