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Finding the Fourth Proportional to 64,865.31, 89,514.08 and 35,057.31

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Solution

The fourth proportional to 64,865.31, 89,514.08 and 35,057.31 is: 48,379.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,865.31 : 89,514.08 = 35,057.31 : x
  2. Step 2: Convert to fraction form
    64,865.31/89,514.08 = 35,057.31/x
  3. Step 3: Cross multiply
    64,865.31x = 89,514.08 × 35,057.31
  4. Step 4: Simplify right side
    64,865.31x = 3,138,122,676.64
  5. Step 5: Solve for x
    x = 3,138,122,676.64/64,865.31
  6. Step 6: Final answer
    x = 48,379.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.