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Finding the Fourth Proportional to 50,534.84, 69,729.37 and 32,401.42

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Solution

The fourth proportional to 50,534.84, 69,729.37 and 32,401.42 is: 44,708.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,534.84 : 69,729.37 = 32,401.42 : x
  2. Step 2: Convert to fraction form
    50,534.84/69,729.37 = 32,401.42/x
  3. Step 3: Cross multiply
    50,534.84x = 69,729.37 × 32,401.42
  4. Step 4: Simplify right side
    50,534.84x = 2,259,330,530.64
  5. Step 5: Solve for x
    x = 2,259,330,530.64/50,534.84
  6. Step 6: Final answer
    x = 44,708.38

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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.