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Finding the Fourth Proportional to 32,451, 48,745.62 and 30,554.96

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Solution

The fourth proportional to 32,451, 48,745.62 and 30,554.96 is: 45,897.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,451 : 48,745.62 = 30,554.96 : x
  2. Step 2: Convert to fraction form
    32,451/48,745.62 = 30,554.96/x
  3. Step 3: Cross multiply
    32,451x = 48,745.62 × 30,554.96
  4. Step 4: Simplify right side
    32,451x = 1,489,420,469.28
  5. Step 5: Solve for x
    x = 1,489,420,469.28/32,451
  6. Step 6: Final answer
    x = 45,897.52

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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.