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Finding the Fourth Proportional to 30,074.68, 41,505.78 and 17,497

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Solution

The fourth proportional to 30,074.68, 41,505.78 and 17,497 is: 24,147.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,074.68 : 41,505.78 = 17,497 : x
  2. Step 2: Convert to fraction form
    30,074.68/41,505.78 = 17,497/x
  3. Step 3: Cross multiply
    30,074.68x = 41,505.78 × 17,497
  4. Step 4: Simplify right side
    30,074.68x = 726,226,632.66
  5. Step 5: Solve for x
    x = 726,226,632.66/30,074.68
  6. Step 6: Final answer
    x = 24,147.44

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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.