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Finding the Fourth Proportional to 76,077.19, 114,142.80 and 33,953.44

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Solution

The fourth proportional to 76,077.19, 114,142.80 and 33,953.44 is: 50,942.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,077.19 : 114,142.80 = 33,953.44 : x
  2. Step 2: Convert to fraction form
    76,077.19/114,142.80 = 33,953.44/x
  3. Step 3: Cross multiply
    76,077.19x = 114,142.80 × 33,953.44
  4. Step 4: Simplify right side
    76,077.19x = 3,875,540,711.23
  5. Step 5: Solve for x
    x = 3,875,540,711.23/76,077.19
  6. Step 6: Final answer
    x = 50,942.22

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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.