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Finding the Fourth Proportional to 50,796.14, 76,240.97 and 25,854

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Solution

The fourth proportional to 50,796.14, 76,240.97 and 25,854 is: 38,804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,796.14 : 76,240.97 = 25,854 : x
  2. Step 2: Convert to fraction form
    50,796.14/76,240.97 = 25,854/x
  3. Step 3: Cross multiply
    50,796.14x = 76,240.97 × 25,854
  4. Step 4: Simplify right side
    50,796.14x = 1,971,133,909.11
  5. Step 5: Solve for x
    x = 1,971,133,909.11/50,796.14
  6. Step 6: Final answer
    x = 38,804.80

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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.