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Finding the Fourth Proportional to 32,149.47, 48,224.20 and 14,624.31

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Solution

The fourth proportional to 32,149.47, 48,224.20 and 14,624.31 is: 21,936.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,149.47 : 48,224.20 = 14,624.31 : x
  2. Step 2: Convert to fraction form
    32,149.47/48,224.20 = 14,624.31/x
  3. Step 3: Cross multiply
    32,149.47x = 48,224.20 × 14,624.31
  4. Step 4: Simplify right side
    32,149.47x = 705,245,650.30
  5. Step 5: Solve for x
    x = 705,245,650.30/32,149.47
  6. Step 6: Final answer
    x = 21,936.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.