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Finding the Fourth Proportional to 31,578.78, 43,578.75 and 17,431.62

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Solution

The fourth proportional to 31,578.78, 43,578.75 and 17,431.62 is: 24,055.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,578.78 : 43,578.75 = 17,431.62 : x
  2. Step 2: Convert to fraction form
    31,578.78/43,578.75 = 17,431.62/x
  3. Step 3: Cross multiply
    31,578.78x = 43,578.75 × 17,431.62
  4. Step 4: Simplify right side
    31,578.78x = 759,648,210.08
  5. Step 5: Solve for x
    x = 759,648,210.08/31,578.78
  6. Step 6: Final answer
    x = 24,055.65

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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.