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Finding the Fourth Proportional to 50,948.64, 76,262.76 and 32,163.66

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Solution

The fourth proportional to 50,948.64, 76,262.76 and 32,163.66 is: 48,144.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,948.64 : 76,262.76 = 32,163.66 : x
  2. Step 2: Convert to fraction form
    50,948.64/76,262.76 = 32,163.66/x
  3. Step 3: Cross multiply
    50,948.64x = 76,262.76 × 32,163.66
  4. Step 4: Simplify right side
    50,948.64x = 2,452,889,483.30
  5. Step 5: Solve for x
    x = 2,452,889,483.30/50,948.64
  6. Step 6: Final answer
    x = 48,144.36

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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.