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Finding the Fourth Proportional to 29,294.31, 43,941.07 and 7,107.87

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Solution

The fourth proportional to 29,294.31, 43,941.07 and 7,107.87 is: 10,661.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,294.31 : 43,941.07 = 7,107.87 : x
  2. Step 2: Convert to fraction form
    29,294.31/43,941.07 = 7,107.87/x
  3. Step 3: Cross multiply
    29,294.31x = 43,941.07 × 7,107.87
  4. Step 4: Simplify right side
    29,294.31x = 312,327,157.98
  5. Step 5: Solve for x
    x = 312,327,157.98/29,294.31
  6. Step 6: Final answer
    x = 10,661.70

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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.