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Finding the Fourth Proportional to 72,983.40, 109,438.62 and 33,506.82

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Solution

The fourth proportional to 72,983.40, 109,438.62 and 33,506.82 is: 50,243.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,983.40 : 109,438.62 = 33,506.82 : x
  2. Step 2: Convert to fraction form
    72,983.40/109,438.62 = 33,506.82/x
  3. Step 3: Cross multiply
    72,983.40x = 109,438.62 × 33,506.82
  4. Step 4: Simplify right side
    72,983.40x = 3,666,940,141.39
  5. Step 5: Solve for x
    x = 3,666,940,141.39/72,983.40
  6. Step 6: Final answer
    x = 50,243.48

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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.