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Finding the Fourth Proportional to 57,770.13, 86,669.79 and 16,217.13

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Solution

The fourth proportional to 57,770.13, 86,669.79 and 16,217.13 is: 24,329.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,770.13 : 86,669.79 = 16,217.13 : x
  2. Step 2: Convert to fraction form
    57,770.13/86,669.79 = 16,217.13/x
  3. Step 3: Cross multiply
    57,770.13x = 86,669.79 × 16,217.13
  4. Step 4: Simplify right side
    57,770.13x = 1,405,535,251.50
  5. Step 5: Solve for x
    x = 1,405,535,251.50/57,770.13
  6. Step 6: Final answer
    x = 24,329.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.