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Finding the Fourth Proportional to 50,658.64, 75,979.20 and 13,714

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Solution

The fourth proportional to 50,658.64, 75,979.20 and 13,714 is: 20,568.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,658.64 : 75,979.20 = 13,714 : x
  2. Step 2: Convert to fraction form
    50,658.64/75,979.20 = 13,714/x
  3. Step 3: Cross multiply
    50,658.64x = 75,979.20 × 13,714
  4. Step 4: Simplify right side
    50,658.64x = 1,041,978,748.80
  5. Step 5: Solve for x
    x = 1,041,978,748.80/50,658.64
  6. Step 6: Final answer
    x = 20,568.63

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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.