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Finding the Fourth Proportional to 78,546.12, 108,394.11 and 42,736.38

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Solution

The fourth proportional to 78,546.12, 108,394.11 and 42,736.38 is: 58,976.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,546.12 : 108,394.11 = 42,736.38 : x
  2. Step 2: Convert to fraction form
    78,546.12/108,394.11 = 42,736.38/x
  3. Step 3: Cross multiply
    78,546.12x = 108,394.11 × 42,736.38
  4. Step 4: Simplify right side
    78,546.12x = 4,632,371,874.72
  5. Step 5: Solve for x
    x = 4,632,371,874.72/78,546.12
  6. Step 6: Final answer
    x = 58,976.46

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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.