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Finding the Fourth Proportional to 29,509.50, 44,272.92 and 8,733.54

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Solution

The fourth proportional to 29,509.50, 44,272.92 and 8,733.54 is: 13,102.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,509.50 : 44,272.92 = 8,733.54 : x
  2. Step 2: Convert to fraction form
    29,509.50/44,272.92 = 8,733.54/x
  3. Step 3: Cross multiply
    29,509.50x = 44,272.92 × 8,733.54
  4. Step 4: Simplify right side
    29,509.50x = 386,659,317.74
  5. Step 5: Solve for x
    x = 386,659,317.74/29,509.50
  6. Step 6: Final answer
    x = 13,102.88

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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.