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Finding the Fourth Proportional to 76,415.50, 114,626.89 and 32,043.70

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Solution

The fourth proportional to 76,415.50, 114,626.89 and 32,043.70 is: 48,067.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,415.50 : 114,626.89 = 32,043.70 : x
  2. Step 2: Convert to fraction form
    76,415.50/114,626.89 = 32,043.70/x
  3. Step 3: Cross multiply
    76,415.50x = 114,626.89 × 32,043.70
  4. Step 4: Simplify right side
    76,415.50x = 3,673,069,101.96
  5. Step 5: Solve for x
    x = 3,673,069,101.96/76,415.50
  6. Step 6: Final answer
    x = 48,067.07

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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.