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Finding the Fourth Proportional to 53,452.98, 80,164.89 and 29,731.32

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Solution

The fourth proportional to 53,452.98, 80,164.89 and 29,731.32 is: 44,588.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,452.98 : 80,164.89 = 29,731.32 : x
  2. Step 2: Convert to fraction form
    53,452.98/80,164.89 = 29,731.32/x
  3. Step 3: Cross multiply
    53,452.98x = 80,164.89 × 29,731.32
  4. Step 4: Simplify right side
    53,452.98x = 2,383,407,997.35
  5. Step 5: Solve for x
    x = 2,383,407,997.35/53,452.98
  6. Step 6: Final answer
    x = 44,588.87

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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.