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Finding the Fourth Proportional to 33,588.54, 50,382.81 and 10,215

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Solution

The fourth proportional to 33,588.54, 50,382.81 and 10,215 is: 15,322.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,588.54 : 50,382.81 = 10,215 : x
  2. Step 2: Convert to fraction form
    33,588.54/50,382.81 = 10,215/x
  3. Step 3: Cross multiply
    33,588.54x = 50,382.81 × 10,215
  4. Step 4: Simplify right side
    33,588.54x = 514,660,404.15
  5. Step 5: Solve for x
    x = 514,660,404.15/33,588.54
  6. Step 6: Final answer
    x = 15,322.50

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1.5x scale

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.