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Finding the Fourth Proportional to 33,189.56, 49,792.32 and 9,497.48

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Solution

The fourth proportional to 33,189.56, 49,792.32 and 9,497.48 is: 14,248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,189.56 : 49,792.32 = 9,497.48 : x
  2. Step 2: Convert to fraction form
    33,189.56/49,792.32 = 9,497.48/x
  3. Step 3: Cross multiply
    33,189.56x = 49,792.32 × 9,497.48
  4. Step 4: Simplify right side
    33,189.56x = 472,901,563.35
  5. Step 5: Solve for x
    x = 472,901,563.35/33,189.56
  6. Step 6: Final answer
    x = 14,248.50

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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.