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Finding the Fourth Proportional to 31,902.36, 47,860.43 and 9,717.48

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Solution

The fourth proportional to 31,902.36, 47,860.43 and 9,717.48 is: 14,578.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,902.36 : 47,860.43 = 9,717.48 : x
  2. Step 2: Convert to fraction form
    31,902.36/47,860.43 = 9,717.48/x
  3. Step 3: Cross multiply
    31,902.36x = 47,860.43 × 9,717.48
  4. Step 4: Simplify right side
    31,902.36x = 465,082,722.73
  5. Step 5: Solve for x
    x = 465,082,722.73/31,902.36
  6. Step 6: Final answer
    x = 14,578.32

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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.