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Finding the Fourth Proportional to 29,236.31, 43,844.54 and 9,509.97

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Solution

The fourth proportional to 29,236.31, 43,844.54 and 9,509.97 is: 14,261.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,236.31 : 43,844.54 = 9,509.97 : x
  2. Step 2: Convert to fraction form
    29,236.31/43,844.54 = 9,509.97/x
  3. Step 3: Cross multiply
    29,236.31x = 43,844.54 × 9,509.97
  4. Step 4: Simplify right side
    29,236.31x = 416,960,212.51
  5. Step 5: Solve for x
    x = 416,960,212.51/29,236.31
  6. Step 6: Final answer
    x = 14,261.73

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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.