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Finding the Fourth Proportional to 29,527.67, 44,291.31 and 10,809

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Solution

The fourth proportional to 29,527.67, 44,291.31 and 10,809 is: 16,213.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,527.67 : 44,291.31 = 10,809 : x
  2. Step 2: Convert to fraction form
    29,527.67/44,291.31 = 10,809/x
  3. Step 3: Cross multiply
    29,527.67x = 44,291.31 × 10,809
  4. Step 4: Simplify right side
    29,527.67x = 478,744,769.79
  5. Step 5: Solve for x
    x = 478,744,769.79/29,527.67
  6. Step 6: Final answer
    x = 16,213.43

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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.