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Finding the Fourth Proportional to 63,809, 95,714.31 and 22,256

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Solution

The fourth proportional to 63,809, 95,714.31 and 22,256 is: 33,384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,809 : 95,714.31 = 22,256 : x
  2. Step 2: Convert to fraction form
    63,809/95,714.31 = 22,256/x
  3. Step 3: Cross multiply
    63,809x = 95,714.31 × 22,256
  4. Step 4: Simplify right side
    63,809x = 2,130,217,683.36
  5. Step 5: Solve for x
    x = 2,130,217,683.36/63,809
  6. Step 6: Final answer
    x = 33,384.28

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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.