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Finding the Fourth Proportional to 32,189.67, 48,297.81 and 17,381.16

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Solution

The fourth proportional to 32,189.67, 48,297.81 and 17,381.16 is: 26,078.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,189.67 : 48,297.81 = 17,381.16 : x
  2. Step 2: Convert to fraction form
    32,189.67/48,297.81 = 17,381.16/x
  3. Step 3: Cross multiply
    32,189.67x = 48,297.81 × 17,381.16
  4. Step 4: Simplify right side
    32,189.67x = 839,471,963.26
  5. Step 5: Solve for x
    x = 839,471,963.26/32,189.67
  6. Step 6: Final answer
    x = 26,078.92

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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.