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Finding the Fourth Proportional to 29,156.70, 43,724.07 and 9,429.96

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Solution

The fourth proportional to 29,156.70, 43,724.07 and 9,429.96 is: 14,141.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,156.70 : 43,724.07 = 9,429.96 : x
  2. Step 2: Convert to fraction form
    29,156.70/43,724.07 = 9,429.96/x
  3. Step 3: Cross multiply
    29,156.70x = 43,724.07 × 9,429.96
  4. Step 4: Simplify right side
    29,156.70x = 412,316,231.14
  5. Step 5: Solve for x
    x = 412,316,231.14/29,156.70
  6. Step 6: Final answer
    x = 14,141.39

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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.