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Finding the Fourth Proportional to 29,296.31, 43,942.64 and 12,644.64

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Solution

The fourth proportional to 29,296.31, 43,942.64 and 12,644.64 is: 18,966.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,296.31 : 43,942.64 = 12,644.64 : x
  2. Step 2: Convert to fraction form
    29,296.31/43,942.64 = 12,644.64/x
  3. Step 3: Cross multiply
    29,296.31x = 43,942.64 × 12,644.64
  4. Step 4: Simplify right side
    29,296.31x = 555,638,800.23
  5. Step 5: Solve for x
    x = 555,638,800.23/29,296.31
  6. Step 6: Final answer
    x = 18,966.17

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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.