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Finding the Fourth Proportional to 33,647.76, 50,471.64 and 11,463.48

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Solution

The fourth proportional to 33,647.76, 50,471.64 and 11,463.48 is: 17,195.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,647.76 : 50,471.64 = 11,463.48 : x
  2. Step 2: Convert to fraction form
    33,647.76/50,471.64 = 11,463.48/x
  3. Step 3: Cross multiply
    33,647.76x = 50,471.64 × 11,463.48
  4. Step 4: Simplify right side
    33,647.76x = 578,580,635.71
  5. Step 5: Solve for x
    x = 578,580,635.71/33,647.76
  6. Step 6: Final answer
    x = 17,195.22

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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.