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Finding the Fourth Proportional to 23,978.70, 35,964.81 and 6,449.58

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Solution

The fourth proportional to 23,978.70, 35,964.81 and 6,449.58 is: 9,673.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,978.70 : 35,964.81 = 6,449.58 : x
  2. Step 2: Convert to fraction form
    23,978.70/35,964.81 = 6,449.58/x
  3. Step 3: Cross multiply
    23,978.70x = 35,964.81 × 6,449.58
  4. Step 4: Simplify right side
    23,978.70x = 231,957,919.28
  5. Step 5: Solve for x
    x = 231,957,919.28/23,978.70
  6. Step 6: Final answer
    x = 9,673.50

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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.