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Finding the Fourth Proportional to 50,652.88, 75,976.44 and 13,714

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Solution

The fourth proportional to 50,652.88, 75,976.44 and 13,714 is: 20,570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,652.88 : 75,976.44 = 13,714 : x
  2. Step 2: Convert to fraction form
    50,652.88/75,976.44 = 13,714/x
  3. Step 3: Cross multiply
    50,652.88x = 75,976.44 × 13,714
  4. Step 4: Simplify right side
    50,652.88x = 1,041,940,898.16
  5. Step 5: Solve for x
    x = 1,041,940,898.16/50,652.88
  6. Step 6: Final answer
    x = 20,570.22

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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.