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Finding the Fourth Proportional to 29,355.96, 44,042.13 and 11,838

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Solution

The fourth proportional to 29,355.96, 44,042.13 and 11,838 is: 17,760.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,355.96 : 44,042.13 = 11,838 : x
  2. Step 2: Convert to fraction form
    29,355.96/44,042.13 = 11,838/x
  3. Step 3: Cross multiply
    29,355.96x = 44,042.13 × 11,838
  4. Step 4: Simplify right side
    29,355.96x = 521,370,734.94
  5. Step 5: Solve for x
    x = 521,370,734.94/29,355.96
  6. Step 6: Final answer
    x = 17,760.30

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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.