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Finding the Fourth Proportional to 38,412.62, 57,598.11 and 17,328

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Solution

The fourth proportional to 38,412.62, 57,598.11 and 17,328 is: 25,982.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,412.62 : 57,598.11 = 17,328 : x
  2. Step 2: Convert to fraction form
    38,412.62/57,598.11 = 17,328/x
  3. Step 3: Cross multiply
    38,412.62x = 57,598.11 × 17,328
  4. Step 4: Simplify right side
    38,412.62x = 998,060,050.08
  5. Step 5: Solve for x
    x = 998,060,050.08/38,412.62
  6. Step 6: Final answer
    x = 25,982.61

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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.