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Finding the Fourth Proportional to 32,481.76, 44,824.82 and 17,577.76

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Solution

The fourth proportional to 32,481.76, 44,824.82 and 17,577.76 is: 24,257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,481.76 : 44,824.82 = 17,577.76 : x
  2. Step 2: Convert to fraction form
    32,481.76/44,824.82 = 17,577.76/x
  3. Step 3: Cross multiply
    32,481.76x = 44,824.82 × 17,577.76
  4. Step 4: Simplify right side
    32,481.76x = 787,919,928.00
  5. Step 5: Solve for x
    x = 787,919,928.00/32,481.76
  6. Step 6: Final answer
    x = 24,257.30

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1.5x scale

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.