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Finding the Fourth Proportional to 29,712.78, 44,576.40 and 8,936.28

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Solution

The fourth proportional to 29,712.78, 44,576.40 and 8,936.28 is: 13,406.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,712.78 : 44,576.40 = 8,936.28 : x
  2. Step 2: Convert to fraction form
    29,712.78/44,576.40 = 8,936.28/x
  3. Step 3: Cross multiply
    29,712.78x = 44,576.40 × 8,936.28
  4. Step 4: Simplify right side
    29,712.78x = 398,347,191.79
  5. Step 5: Solve for x
    x = 398,347,191.79/29,712.78
  6. Step 6: Final answer
    x = 13,406.59

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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.