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Finding the Fourth Proportional to 94,993.08, 142,504.20 and 32,649

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Solution

The fourth proportional to 94,993.08, 142,504.20 and 32,649 is: 48,978.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,993.08 : 142,504.20 = 32,649 : x
  2. Step 2: Convert to fraction form
    94,993.08/142,504.20 = 32,649/x
  3. Step 3: Cross multiply
    94,993.08x = 142,504.20 × 32,649
  4. Step 4: Simplify right side
    94,993.08x = 4,652,619,625.80
  5. Step 5: Solve for x
    x = 4,652,619,625.80/94,993.08
  6. Step 6: Final answer
    x = 48,978.51

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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.