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Finding the Fourth Proportional to 31,578.45, 43,578.16 and 17,431.19

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Solution

The fourth proportional to 31,578.45, 43,578.16 and 17,431.19 is: 24,054.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,578.45 : 43,578.16 = 17,431.19 : x
  2. Step 2: Convert to fraction form
    31,578.45/43,578.16 = 17,431.19/x
  3. Step 3: Cross multiply
    31,578.45x = 43,578.16 × 17,431.19
  4. Step 4: Simplify right side
    31,578.45x = 759,619,186.81
  5. Step 5: Solve for x
    x = 759,619,186.81/31,578.45
  6. Step 6: Final answer
    x = 24,054.99

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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.