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Finding the Fourth Proportional to 50,588.64, 69,812.43 and 27,927.67

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Solution

The fourth proportional to 50,588.64, 69,812.43 and 27,927.67 is: 38,540.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,588.64 : 69,812.43 = 27,927.67 : x
  2. Step 2: Convert to fraction form
    50,588.64/69,812.43 = 27,927.67/x
  3. Step 3: Cross multiply
    50,588.64x = 69,812.43 × 27,927.67
  4. Step 4: Simplify right side
    50,588.64x = 1,949,698,245.14
  5. Step 5: Solve for x
    x = 1,949,698,245.14/50,588.64
  6. Step 6: Final answer
    x = 38,540.24

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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.