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Finding the Fourth Proportional to 50,382.50, 69,527.84 and 27,720.99

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Solution

The fourth proportional to 50,382.50, 69,527.84 and 27,720.99 is: 38,254.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,382.50 : 69,527.84 = 27,720.99 : x
  2. Step 2: Convert to fraction form
    50,382.50/69,527.84 = 27,720.99/x
  3. Step 3: Cross multiply
    50,382.50x = 69,527.84 × 27,720.99
  4. Step 4: Simplify right side
    50,382.50x = 1,927,380,418.76
  5. Step 5: Solve for x
    x = 1,927,380,418.76/50,382.50
  6. Step 6: Final answer
    x = 38,254.96

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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.