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Finding the Fourth Proportional to 33,923.60, 50,899.80 and 16,384.40

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Solution

The fourth proportional to 33,923.60, 50,899.80 and 16,384.40 is: 24,583.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,923.60 : 50,899.80 = 16,384.40 : x
  2. Step 2: Convert to fraction form
    33,923.60/50,899.80 = 16,384.40/x
  3. Step 3: Cross multiply
    33,923.60x = 50,899.80 × 16,384.40
  4. Step 4: Simplify right side
    33,923.60x = 833,962,683.12
  5. Step 5: Solve for x
    x = 833,962,683.12/33,923.60
  6. Step 6: Final answer
    x = 24,583.55

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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.