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Finding the Fourth Proportional to 78,589, 117,760.20 and 31,178.44

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Solution

The fourth proportional to 78,589, 117,760.20 and 31,178.44 is: 46,718.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,589 : 117,760.20 = 31,178.44 : x
  2. Step 2: Convert to fraction form
    78,589/117,760.20 = 31,178.44/x
  3. Step 3: Cross multiply
    78,589x = 117,760.20 × 31,178.44
  4. Step 4: Simplify right side
    78,589x = 3,671,579,330.09
  5. Step 5: Solve for x
    x = 3,671,579,330.09/78,589
  6. Step 6: Final answer
    x = 46,718.74

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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.