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Finding the Fourth Proportional to 29,952.60, 41,321.40 and 18,009

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Solution

The fourth proportional to 29,952.60, 41,321.40 and 18,009 is: 24,844.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,952.60 : 41,321.40 = 18,009 : x
  2. Step 2: Convert to fraction form
    29,952.60/41,321.40 = 18,009/x
  3. Step 3: Cross multiply
    29,952.60x = 41,321.40 × 18,009
  4. Step 4: Simplify right side
    29,952.60x = 744,157,092.60
  5. Step 5: Solve for x
    x = 744,157,092.60/29,952.60
  6. Step 6: Final answer
    x = 24,844.49

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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.