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Finding the Fourth Proportional to 38,509.92, 57,762 and 22,914

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Solution

The fourth proportional to 38,509.92, 57,762 and 22,914 is: 34,369.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,509.92 : 57,762 = 22,914 : x
  2. Step 2: Convert to fraction form
    38,509.92/57,762 = 22,914/x
  3. Step 3: Cross multiply
    38,509.92x = 57,762 × 22,914
  4. Step 4: Simplify right side
    38,509.92x = 1,323,558,468
  5. Step 5: Solve for x
    x = 1,323,558,468/38,509.92
  6. Step 6: Final answer
    x = 34,369.29

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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.