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Finding the Fourth Proportional to 50,057.46, 75,023.82 and 43,802.64

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Solution

The fourth proportional to 50,057.46, 75,023.82 and 43,802.64 is: 65,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,057.46 : 75,023.82 = 43,802.64 : x
  2. Step 2: Convert to fraction form
    50,057.46/75,023.82 = 43,802.64/x
  3. Step 3: Cross multiply
    50,057.46x = 75,023.82 × 43,802.64
  4. Step 4: Simplify right side
    50,057.46x = 3,286,241,378.88
  5. Step 5: Solve for x
    x = 3,286,241,378.88/50,057.46
  6. Step 6: Final answer
    x = 65,649.38

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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.