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Finding the Fourth Proportional to 32,950.13, 49,431.40 and 13,230.20

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Solution

The fourth proportional to 32,950.13, 49,431.40 and 13,230.20 is: 19,847.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,950.13 : 49,431.40 = 13,230.20 : x
  2. Step 2: Convert to fraction form
    32,950.13/49,431.40 = 13,230.20/x
  3. Step 3: Cross multiply
    32,950.13x = 49,431.40 × 13,230.20
  4. Step 4: Simplify right side
    32,950.13x = 653,987,398.78
  5. Step 5: Solve for x
    x = 653,987,398.78/32,950.13
  6. Step 6: Final answer
    x = 19,847.80

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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.