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Finding the Fourth Proportional to 32,108.96, 48,163.44 and 13,628

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Solution

The fourth proportional to 32,108.96, 48,163.44 and 13,628 is: 20,442.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,108.96 : 48,163.44 = 13,628 : x
  2. Step 2: Convert to fraction form
    32,108.96/48,163.44 = 13,628/x
  3. Step 3: Cross multiply
    32,108.96x = 48,163.44 × 13,628
  4. Step 4: Simplify right side
    32,108.96x = 656,371,360.32
  5. Step 5: Solve for x
    x = 656,371,360.32/32,108.96
  6. Step 6: Final answer
    x = 20,442.00

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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.