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Finding the Fourth Proportional to 50,942.60, 76,421.58 and 15,885

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Solution

The fourth proportional to 50,942.60, 76,421.58 and 15,885 is: 23,829.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,942.60 : 76,421.58 = 15,885 : x
  2. Step 2: Convert to fraction form
    50,942.60/76,421.58 = 15,885/x
  3. Step 3: Cross multiply
    50,942.60x = 76,421.58 × 15,885
  4. Step 4: Simplify right side
    50,942.60x = 1,213,956,798.30
  5. Step 5: Solve for x
    x = 1,213,956,798.30/50,942.60
  6. Step 6: Final answer
    x = 23,829.89

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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.