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Finding the Fourth Proportional to 29,270.96, 43,913.44 and 9,549.56

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Solution

The fourth proportional to 29,270.96, 43,913.44 and 9,549.56 is: 14,326.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,270.96 : 43,913.44 = 9,549.56 : x
  2. Step 2: Convert to fraction form
    29,270.96/43,913.44 = 9,549.56/x
  3. Step 3: Cross multiply
    29,270.96x = 43,913.44 × 9,549.56
  4. Step 4: Simplify right side
    29,270.96x = 419,354,030.09
  5. Step 5: Solve for x
    x = 419,354,030.09/29,270.96
  6. Step 6: Final answer
    x = 14,326.62

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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.