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Finding the Fourth Proportional to 32,589.03, 48,845.07 and 13,857.78

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Solution

The fourth proportional to 32,589.03, 48,845.07 and 13,857.78 is: 20,770.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,589.03 : 48,845.07 = 13,857.78 : x
  2. Step 2: Convert to fraction form
    32,589.03/48,845.07 = 13,857.78/x
  3. Step 3: Cross multiply
    32,589.03x = 48,845.07 × 13,857.78
  4. Step 4: Simplify right side
    32,589.03x = 676,884,234.14
  5. Step 5: Solve for x
    x = 676,884,234.14/32,589.03
  6. Step 6: Final answer
    x = 20,770.31

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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.