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Finding the Fourth Proportional to 30,191, 41,663.64 and 17,616.56

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Solution

The fourth proportional to 30,191, 41,663.64 and 17,616.56 is: 24,310.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,191 : 41,663.64 = 17,616.56 : x
  2. Step 2: Convert to fraction form
    30,191/41,663.64 = 17,616.56/x
  3. Step 3: Cross multiply
    30,191x = 41,663.64 × 17,616.56
  4. Step 4: Simplify right side
    30,191x = 733,970,013.88
  5. Step 5: Solve for x
    x = 733,970,013.88/30,191
  6. Step 6: Final answer
    x = 24,310.89

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1.5x scale

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.