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Finding the Fourth Proportional to 34,493.96, 51,724.56 and 15,768.44

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Solution

The fourth proportional to 34,493.96, 51,724.56 and 15,768.44 is: 23,645.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,493.96 : 51,724.56 = 15,768.44 : x
  2. Step 2: Convert to fraction form
    34,493.96/51,724.56 = 15,768.44/x
  3. Step 3: Cross multiply
    34,493.96x = 51,724.56 × 15,768.44
  4. Step 4: Simplify right side
    34,493.96x = 815,615,620.89
  5. Step 5: Solve for x
    x = 815,615,620.89/34,493.96
  6. Step 6: Final answer
    x = 23,645.17

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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.