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Finding the Fourth Proportional to 38,242, 57,385.68 and 17,467.12

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Solution

The fourth proportional to 38,242, 57,385.68 and 17,467.12 is: 26,211.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,242 : 57,385.68 = 17,467.12 : x
  2. Step 2: Convert to fraction form
    38,242/57,385.68 = 17,467.12/x
  3. Step 3: Cross multiply
    38,242x = 57,385.68 × 17,467.12
  4. Step 4: Simplify right side
    38,242x = 1,002,362,558.84
  5. Step 5: Solve for x
    x = 1,002,362,558.84/38,242
  6. Step 6: Final answer
    x = 26,211.04

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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.