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Finding the Fourth Proportional to 84,233.48, 116,191.86 and 50,693

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Solution

The fourth proportional to 84,233.48, 116,191.86 and 50,693 is: 69,926.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,233.48 : 116,191.86 = 50,693 : x
  2. Step 2: Convert to fraction form
    84,233.48/116,191.86 = 50,693/x
  3. Step 3: Cross multiply
    84,233.48x = 116,191.86 × 50,693
  4. Step 4: Simplify right side
    84,233.48x = 5,890,113,958.98
  5. Step 5: Solve for x
    x = 5,890,113,958.98/84,233.48
  6. Step 6: Final answer
    x = 69,926.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.