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Finding the Fourth Proportional to 78,600.60, 117,949.50 and 31,853.88

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Solution

The fourth proportional to 78,600.60, 117,949.50 and 31,853.88 is: 47,800.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,600.60 : 117,949.50 = 31,853.88 : x
  2. Step 2: Convert to fraction form
    78,600.60/117,949.50 = 31,853.88/x
  3. Step 3: Cross multiply
    78,600.60x = 117,949.50 × 31,853.88
  4. Step 4: Simplify right side
    78,600.60x = 3,757,149,219.06
  5. Step 5: Solve for x
    x = 3,757,149,219.06/78,600.60
  6. Step 6: Final answer
    x = 47,800.52

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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.