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Finding the Fourth Proportional to 38,605.87, 57,894.22 and 16,429.69

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Solution

The fourth proportional to 38,605.87, 57,894.22 and 16,429.69 is: 24,638.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,605.87 : 57,894.22 = 16,429.69 : x
  2. Step 2: Convert to fraction form
    38,605.87/57,894.22 = 16,429.69/x
  3. Step 3: Cross multiply
    38,605.87x = 57,894.22 × 16,429.69
  4. Step 4: Simplify right side
    38,605.87x = 951,184,087.39
  5. Step 5: Solve for x
    x = 951,184,087.39/38,605.87
  6. Step 6: Final answer
    x = 24,638.33

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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.