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Finding the Fourth Proportional to 33,724.83, 46,497.02 and 27,652.71

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Solution

The fourth proportional to 33,724.83, 46,497.02 and 27,652.71 is: 38,125.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,724.83 : 46,497.02 = 27,652.71 : x
  2. Step 2: Convert to fraction form
    33,724.83/46,497.02 = 27,652.71/x
  3. Step 3: Cross multiply
    33,724.83x = 46,497.02 × 27,652.71
  4. Step 4: Simplify right side
    33,724.83x = 1,285,768,609.92
  5. Step 5: Solve for x
    x = 1,285,768,609.92/33,724.83
  6. Step 6: Final answer
    x = 38,125.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.