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Finding the Fourth Proportional to 50,704.48, 75,998.40 and 31,998.40

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Solution

The fourth proportional to 50,704.48, 75,998.40 and 31,998.40 is: 47,960.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,704.48 : 75,998.40 = 31,998.40 : x
  2. Step 2: Convert to fraction form
    50,704.48/75,998.40 = 31,998.40/x
  3. Step 3: Cross multiply
    50,704.48x = 75,998.40 × 31,998.40
  4. Step 4: Simplify right side
    50,704.48x = 2,431,827,202.56
  5. Step 5: Solve for x
    x = 2,431,827,202.56/50,704.48
  6. Step 6: Final answer
    x = 47,960.80

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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.