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Finding the Fourth Proportional to 32,827.74, 49,234.41 and 9,449.10

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Solution

The fourth proportional to 32,827.74, 49,234.41 and 9,449.10 is: 14,171.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,827.74 : 49,234.41 = 9,449.10 : x
  2. Step 2: Convert to fraction form
    32,827.74/49,234.41 = 9,449.10/x
  3. Step 3: Cross multiply
    32,827.74x = 49,234.41 × 9,449.10
  4. Step 4: Simplify right side
    32,827.74x = 465,220,863.53
  5. Step 5: Solve for x
    x = 465,220,863.53/32,827.74
  6. Step 6: Final answer
    x = 14,171.58

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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.