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Finding the Fourth Proportional to 33,204.81, 49,807.31 and 9,512.31

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Solution

The fourth proportional to 33,204.81, 49,807.31 and 9,512.31 is: 14,268.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,204.81 : 49,807.31 = 9,512.31 : x
  2. Step 2: Convert to fraction form
    33,204.81/49,807.31 = 9,512.31/x
  3. Step 3: Cross multiply
    33,204.81x = 49,807.31 × 9,512.31
  4. Step 4: Simplify right side
    33,204.81x = 473,782,525.42
  5. Step 5: Solve for x
    x = 473,782,525.42/33,204.81
  6. Step 6: Final answer
    x = 14,268.49

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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.