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Finding the Fourth Proportional to 38,523.80, 57,785.70 and 16,333.40

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Solution

The fourth proportional to 38,523.80, 57,785.70 and 16,333.40 is: 24,500.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,523.80 : 57,785.70 = 16,333.40 : x
  2. Step 2: Convert to fraction form
    38,523.80/57,785.70 = 16,333.40/x
  3. Step 3: Cross multiply
    38,523.80x = 57,785.70 × 16,333.40
  4. Step 4: Simplify right side
    38,523.80x = 943,836,952.38
  5. Step 5: Solve for x
    x = 943,836,952.38/38,523.80
  6. Step 6: Final answer
    x = 24,500.10

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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.