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Finding the Fourth Proportional to 38,410.62, 57,595.11 and 17,326

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Solution

The fourth proportional to 38,410.62, 57,595.11 and 17,326 is: 25,979.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,410.62 : 57,595.11 = 17,326 : x
  2. Step 2: Convert to fraction form
    38,410.62/57,595.11 = 17,326/x
  3. Step 3: Cross multiply
    38,410.62x = 57,595.11 × 17,326
  4. Step 4: Simplify right side
    38,410.62x = 997,892,875.86
  5. Step 5: Solve for x
    x = 997,892,875.86/38,410.62
  6. Step 6: Final answer
    x = 25,979.61

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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.