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Finding the Fourth Proportional to 33,088.91, 49,632.93 and 8,129.07

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Solution

The fourth proportional to 33,088.91, 49,632.93 and 8,129.07 is: 12,193.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,088.91 : 49,632.93 = 8,129.07 : x
  2. Step 2: Convert to fraction form
    33,088.91/49,632.93 = 8,129.07/x
  3. Step 3: Cross multiply
    33,088.91x = 49,632.93 × 8,129.07
  4. Step 4: Simplify right side
    33,088.91x = 403,469,562.28
  5. Step 5: Solve for x
    x = 403,469,562.28/33,088.91
  6. Step 6: Final answer
    x = 12,193.50

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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.