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Finding the Fourth Proportional to 53,769.94, 80,671.32 and 27,493.14

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Solution

The fourth proportional to 53,769.94, 80,671.32 and 27,493.14 is: 41,248.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,769.94 : 80,671.32 = 27,493.14 : x
  2. Step 2: Convert to fraction form
    53,769.94/80,671.32 = 27,493.14/x
  3. Step 3: Cross multiply
    53,769.94x = 80,671.32 × 27,493.14
  4. Step 4: Simplify right side
    53,769.94x = 2,217,907,894.74
  5. Step 5: Solve for x
    x = 2,217,907,894.74/53,769.94
  6. Step 6: Final answer
    x = 41,248.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.