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Finding the Fourth Proportional to 32,405.25, 48,617.90 and 13,693.65

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Solution

The fourth proportional to 32,405.25, 48,617.90 and 13,693.65 is: 20,544.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,405.25 : 48,617.90 = 13,693.65 : x
  2. Step 2: Convert to fraction form
    32,405.25/48,617.90 = 13,693.65/x
  3. Step 3: Cross multiply
    32,405.25x = 48,617.90 × 13,693.65
  4. Step 4: Simplify right side
    32,405.25x = 665,756,506.34
  5. Step 5: Solve for x
    x = 665,756,506.34/32,405.25
  6. Step 6: Final answer
    x = 20,544.71

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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.