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Finding the Fourth Proportional to 50,493.84, 75,824.72 and 31,562.32

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Solution

The fourth proportional to 50,493.84, 75,824.72 and 31,562.32 is: 47,395.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,493.84 : 75,824.72 = 31,562.32 : x
  2. Step 2: Convert to fraction form
    50,493.84/75,824.72 = 31,562.32/x
  3. Step 3: Cross multiply
    50,493.84x = 75,824.72 × 31,562.32
  4. Step 4: Simplify right side
    50,493.84x = 2,393,204,076.55
  5. Step 5: Solve for x
    x = 2,393,204,076.55/50,493.84
  6. Step 6: Final answer
    x = 47,395.96

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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.