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Finding the Fourth Proportional to 29,174.99, 43,724.41 and 13,374.32

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Solution

The fourth proportional to 29,174.99, 43,724.41 and 13,374.32 is: 20,044.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,174.99 : 43,724.41 = 13,374.32 : x
  2. Step 2: Convert to fraction form
    29,174.99/43,724.41 = 13,374.32/x
  3. Step 3: Cross multiply
    29,174.99x = 43,724.41 × 13,374.32
  4. Step 4: Simplify right side
    29,174.99x = 584,783,999.09
  5. Step 5: Solve for x
    x = 584,783,999.09/29,174.99
  6. Step 6: Final answer
    x = 20,044.02

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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.