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Finding the Fourth Proportional to 57,684.10, 79,604.07 and 31,842.67

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Solution

The fourth proportional to 57,684.10, 79,604.07 and 31,842.67 is: 43,942.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,684.10 : 79,604.07 = 31,842.67 : x
  2. Step 2: Convert to fraction form
    57,684.10/79,604.07 = 31,842.67/x
  3. Step 3: Cross multiply
    57,684.10x = 79,604.07 × 31,842.67
  4. Step 4: Simplify right side
    57,684.10x = 2,534,805,574.43
  5. Step 5: Solve for x
    x = 2,534,805,574.43/57,684.10
  6. Step 6: Final answer
    x = 43,942.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.