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Finding the Fourth Proportional to 38,521.36, 57,796.62 and 17,740

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Solution

The fourth proportional to 38,521.36, 57,796.62 and 17,740 is: 26,616.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,521.36 : 57,796.62 = 17,740 : x
  2. Step 2: Convert to fraction form
    38,521.36/57,796.62 = 17,740/x
  3. Step 3: Cross multiply
    38,521.36x = 57,796.62 × 17,740
  4. Step 4: Simplify right side
    38,521.36x = 1,025,312,038.80
  5. Step 5: Solve for x
    x = 1,025,312,038.80/38,521.36
  6. Step 6: Final answer
    x = 26,616.71

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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.