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Finding the Fourth Proportional to 78,618.60, 117,976.50 and 31,871.88

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Solution

The fourth proportional to 78,618.60, 117,976.50 and 31,871.88 is: 47,827.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,618.60 : 117,976.50 = 31,871.88 : x
  2. Step 2: Convert to fraction form
    78,618.60/117,976.50 = 31,871.88/x
  3. Step 3: Cross multiply
    78,618.60x = 117,976.50 × 31,871.88
  4. Step 4: Simplify right side
    78,618.60x = 3,760,132,850.82
  5. Step 5: Solve for x
    x = 3,760,132,850.82/78,618.60
  6. Step 6: Final answer
    x = 47,827.52

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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.