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Finding the Fourth Proportional to 33,983.90, 50,932.65 and 16,415.90

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Solution

The fourth proportional to 33,983.90, 50,932.65 and 16,415.90 is: 24,602.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,983.90 : 50,932.65 = 16,415.90 : x
  2. Step 2: Convert to fraction form
    33,983.90/50,932.65 = 16,415.90/x
  3. Step 3: Cross multiply
    33,983.90x = 50,932.65 × 16,415.90
  4. Step 4: Simplify right side
    33,983.90x = 836,105,289.14
  5. Step 5: Solve for x
    x = 836,105,289.14/33,983.90
  6. Step 6: Final answer
    x = 24,602.98

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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.