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Finding the Fourth Proportional to 78,628.60, 117,991.50 and 31,881.88

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Solution

The fourth proportional to 78,628.60, 117,991.50 and 31,881.88 is: 47,842.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,628.60 : 117,991.50 = 31,881.88 : x
  2. Step 2: Convert to fraction form
    78,628.60/117,991.50 = 31,881.88/x
  3. Step 3: Cross multiply
    78,628.60x = 117,991.50 × 31,881.88
  4. Step 4: Simplify right side
    78,628.60x = 3,761,790,844.02
  5. Step 5: Solve for x
    x = 3,761,790,844.02/78,628.60
  6. Step 6: Final answer
    x = 47,842.53

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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.