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Finding the Fourth Proportional to 53,954.84, 80,948.06 and 27,677.90

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Solution

The fourth proportional to 53,954.84, 80,948.06 and 27,677.90 is: 41,524.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,954.84 : 80,948.06 = 27,677.90 : x
  2. Step 2: Convert to fraction form
    53,954.84/80,948.06 = 27,677.90/x
  3. Step 3: Cross multiply
    53,954.84x = 80,948.06 × 27,677.90
  4. Step 4: Simplify right side
    53,954.84x = 2,240,472,309.87
  5. Step 5: Solve for x
    x = 2,240,472,309.87/53,954.84
  6. Step 6: Final answer
    x = 41,524.96

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Why These Related Problems?

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