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Finding the Fourth Proportional to 29,215.89, 43,829.28 and 9,489.15

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Solution

The fourth proportional to 29,215.89, 43,829.28 and 9,489.15 is: 14,235.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,215.89 : 43,829.28 = 9,489.15 : x
  2. Step 2: Convert to fraction form
    29,215.89/43,829.28 = 9,489.15/x
  3. Step 3: Cross multiply
    29,215.89x = 43,829.28 × 9,489.15
  4. Step 4: Simplify right side
    29,215.89x = 415,902,612.31
  5. Step 5: Solve for x
    x = 415,902,612.31/29,215.89
  6. Step 6: Final answer
    x = 14,235.49

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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.