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Finding the Fourth Proportional to 31,578.99, 43,578.18 and 17,431.53

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Solution

The fourth proportional to 31,578.99, 43,578.18 and 17,431.53 is: 24,055.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,578.99 : 43,578.18 = 17,431.53 : x
  2. Step 2: Convert to fraction form
    31,578.99/43,578.18 = 17,431.53/x
  3. Step 3: Cross multiply
    31,578.99x = 43,578.18 × 17,431.53
  4. Step 4: Simplify right side
    31,578.99x = 759,634,352.02
  5. Step 5: Solve for x
    x = 759,634,352.02/31,578.99
  6. Step 6: Final answer
    x = 24,055.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.