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Finding the Fourth Proportional to 50,077.94, 69,154.38 and 32,203.98

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Solution

The fourth proportional to 50,077.94, 69,154.38 and 32,203.98 is: 44,471.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,077.94 : 69,154.38 = 32,203.98 : x
  2. Step 2: Convert to fraction form
    50,077.94/69,154.38 = 32,203.98/x
  3. Step 3: Cross multiply
    50,077.94x = 69,154.38 × 32,203.98
  4. Step 4: Simplify right side
    50,077.94x = 2,227,046,270.43
  5. Step 5: Solve for x
    x = 2,227,046,270.43/50,077.94
  6. Step 6: Final answer
    x = 44,471.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.