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Finding the Fourth Proportional to 38,654.70, 57,938.85 and 16,464.30

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Solution

The fourth proportional to 38,654.70, 57,938.85 and 16,464.30 is: 24,678.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,654.70 : 57,938.85 = 16,464.30 : x
  2. Step 2: Convert to fraction form
    38,654.70/57,938.85 = 16,464.30/x
  3. Step 3: Cross multiply
    38,654.70x = 57,938.85 × 16,464.30
  4. Step 4: Simplify right side
    38,654.70x = 953,922,608.06
  5. Step 5: Solve for x
    x = 953,922,608.06/38,654.70
  6. Step 6: Final answer
    x = 24,678.05

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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.