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Finding the Fourth Proportional to 83,166.14, 114,770.38 and 47,356.29

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Solution

The fourth proportional to 83,166.14, 114,770.38 and 47,356.29 is: 65,352.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,166.14 : 114,770.38 = 47,356.29 : x
  2. Step 2: Convert to fraction form
    83,166.14/114,770.38 = 47,356.29/x
  3. Step 3: Cross multiply
    83,166.14x = 114,770.38 × 47,356.29
  4. Step 4: Simplify right side
    83,166.14x = 5,435,099,398.69
  5. Step 5: Solve for x
    x = 5,435,099,398.69/83,166.14
  6. Step 6: Final answer
    x = 65,352.31

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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.