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Finding the Fourth Proportional to 33,983.40, 50,931.90 and 16,415.40

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Solution

The fourth proportional to 33,983.40, 50,931.90 and 16,415.40 is: 24,602.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,983.40 : 50,931.90 = 16,415.40 : x
  2. Step 2: Convert to fraction form
    33,983.40/50,931.90 = 16,415.40/x
  3. Step 3: Cross multiply
    33,983.40x = 50,931.90 × 16,415.40
  4. Step 4: Simplify right side
    33,983.40x = 836,067,511.26
  5. Step 5: Solve for x
    x = 836,067,511.26/33,983.40
  6. Step 6: Final answer
    x = 24,602.23

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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.