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Finding the Fourth Proportional to 38,309.50, 57,453.36 and 16,127.92

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Solution

The fourth proportional to 38,309.50, 57,453.36 and 16,127.92 is: 24,187.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,309.50 : 57,453.36 = 16,127.92 : x
  2. Step 2: Convert to fraction form
    38,309.50/57,453.36 = 16,127.92/x
  3. Step 3: Cross multiply
    38,309.50x = 57,453.36 × 16,127.92
  4. Step 4: Simplify right side
    38,309.50x = 926,603,193.81
  5. Step 5: Solve for x
    x = 926,603,193.81/38,309.50
  6. Step 6: Final answer
    x = 24,187.30

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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.