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Finding the Fourth Proportional to 33,473.10, 50,177.62 and 12,407.50

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Solution

The fourth proportional to 33,473.10, 50,177.62 and 12,407.50 is: 18,599.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,473.10 : 50,177.62 = 12,407.50 : x
  2. Step 2: Convert to fraction form
    33,473.10/50,177.62 = 12,407.50/x
  3. Step 3: Cross multiply
    33,473.10x = 50,177.62 × 12,407.50
  4. Step 4: Simplify right side
    33,473.10x = 622,578,820.15
  5. Step 5: Solve for x
    x = 622,578,820.15/33,473.10
  6. Step 6: Final answer
    x = 18,599.38

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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.