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Finding the Fourth Proportional to 85,844.26, 128,788.26 and 32,558

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Solution

The fourth proportional to 85,844.26, 128,788.26 and 32,558 is: 48,845.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,844.26 : 128,788.26 = 32,558 : x
  2. Step 2: Convert to fraction form
    85,844.26/128,788.26 = 32,558/x
  3. Step 3: Cross multiply
    85,844.26x = 128,788.26 × 32,558
  4. Step 4: Simplify right side
    85,844.26x = 4,193,088,169.08
  5. Step 5: Solve for x
    x = 4,193,088,169.08/85,844.26
  6. Step 6: Final answer
    x = 48,845.29

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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.