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Finding the Fourth Proportional to 32,076.07, 48,108.43 and 8,704.33

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Solution

The fourth proportional to 32,076.07, 48,108.43 and 8,704.33 is: 13,054.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,076.07 : 48,108.43 = 8,704.33 : x
  2. Step 2: Convert to fraction form
    32,076.07/48,108.43 = 8,704.33/x
  3. Step 3: Cross multiply
    32,076.07x = 48,108.43 × 8,704.33
  4. Step 4: Simplify right side
    32,076.07x = 418,751,650.50
  5. Step 5: Solve for x
    x = 418,751,650.50/32,076.07
  6. Step 6: Final answer
    x = 13,054.96

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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.