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Finding the Fourth Proportional to 50,677.60, 76,009.20 and 17,399.20

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Solution

The fourth proportional to 50,677.60, 76,009.20 and 17,399.20 is: 26,096.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,677.60 : 76,009.20 = 17,399.20 : x
  2. Step 2: Convert to fraction form
    50,677.60/76,009.20 = 17,399.20/x
  3. Step 3: Cross multiply
    50,677.60x = 76,009.20 × 17,399.20
  4. Step 4: Simplify right side
    50,677.60x = 1,322,499,272.64
  5. Step 5: Solve for x
    x = 1,322,499,272.64/50,677.60
  6. Step 6: Final answer
    x = 26,096.33

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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.