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Finding the Fourth Proportional to 31,578.66, 43,578.06 and 17,431.62

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Solution

The fourth proportional to 31,578.66, 43,578.06 and 17,431.62 is: 24,055.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,578.66 : 43,578.06 = 17,431.62 : x
  2. Step 2: Convert to fraction form
    31,578.66/43,578.06 = 17,431.62/x
  3. Step 3: Cross multiply
    31,578.66x = 43,578.06 × 17,431.62
  4. Step 4: Simplify right side
    31,578.66x = 759,636,182.26
  5. Step 5: Solve for x
    x = 759,636,182.26/31,578.66
  6. Step 6: Final answer
    x = 24,055.36

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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.