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Finding the Fourth Proportional to 30,175.59, 41,647.32 and 17,600.34

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Solution

The fourth proportional to 30,175.59, 41,647.32 and 17,600.34 is: 24,291.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,175.59 : 41,647.32 = 17,600.34 : x
  2. Step 2: Convert to fraction form
    30,175.59/41,647.32 = 17,600.34/x
  3. Step 3: Cross multiply
    30,175.59x = 41,647.32 × 17,600.34
  4. Step 4: Simplify right side
    30,175.59x = 733,006,992.09
  5. Step 5: Solve for x
    x = 733,006,992.09/30,175.59
  6. Step 6: Final answer
    x = 24,291.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.