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Finding the Fourth Proportional to 31,662.35, 47,446.52 and 17,603.03

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Solution

The fourth proportional to 31,662.35, 47,446.52 and 17,603.03 is: 26,378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,662.35 : 47,446.52 = 17,603.03 : x
  2. Step 2: Convert to fraction form
    31,662.35/47,446.52 = 17,603.03/x
  3. Step 3: Cross multiply
    31,662.35x = 47,446.52 × 17,603.03
  4. Step 4: Simplify right side
    31,662.35x = 835,202,514.96
  5. Step 5: Solve for x
    x = 835,202,514.96/31,662.35
  6. Step 6: Final answer
    x = 26,378.42

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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.