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Finding the Fourth Proportional to 78,185.49, 117,278.25 and 31,427.43

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Solution

The fourth proportional to 78,185.49, 117,278.25 and 31,427.43 is: 47,141.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,185.49 : 117,278.25 = 31,427.43 : x
  2. Step 2: Convert to fraction form
    78,185.49/117,278.25 = 31,427.43/x
  3. Step 3: Cross multiply
    78,185.49x = 117,278.25 × 31,427.43
  4. Step 4: Simplify right side
    78,185.49x = 3,685,753,992.40
  5. Step 5: Solve for x
    x = 3,685,753,992.40/78,185.49
  6. Step 6: Final answer
    x = 47,141.15

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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.