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Finding the Fourth Proportional to 50,805.60, 70,110.87 and 27,835.21

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Solution

The fourth proportional to 50,805.60, 70,110.87 and 27,835.21 is: 38,412.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,805.60 : 70,110.87 = 27,835.21 : x
  2. Step 2: Convert to fraction form
    50,805.60/70,110.87 = 27,835.21/x
  3. Step 3: Cross multiply
    50,805.60x = 70,110.87 × 27,835.21
  4. Step 4: Simplify right side
    50,805.60x = 1,951,550,772.99
  5. Step 5: Solve for x
    x = 1,951,550,772.99/50,805.60
  6. Step 6: Final answer
    x = 38,412.12

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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.