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Finding the Fourth Proportional to 30,682.40, 42,338.64 and 17,251.52

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Solution

The fourth proportional to 30,682.40, 42,338.64 and 17,251.52 is: 23,805.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,682.40 : 42,338.64 = 17,251.52 : x
  2. Step 2: Convert to fraction form
    30,682.40/42,338.64 = 17,251.52/x
  3. Step 3: Cross multiply
    30,682.40x = 42,338.64 × 17,251.52
  4. Step 4: Simplify right side
    30,682.40x = 730,405,894.73
  5. Step 5: Solve for x
    x = 730,405,894.73/30,682.40
  6. Step 6: Final answer
    x = 23,805.37

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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.