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Finding the Fourth Proportional to 31,578.80, 43,577.88 and 17,430.62

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Solution

The fourth proportional to 31,578.80, 43,577.88 and 17,430.62 is: 24,053.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,578.80 : 43,577.88 = 17,430.62 : x
  2. Step 2: Convert to fraction form
    31,578.80/43,577.88 = 17,430.62/x
  3. Step 3: Cross multiply
    31,578.80x = 43,577.88 × 17,430.62
  4. Step 4: Simplify right side
    31,578.80x = 759,589,466.69
  5. Step 5: Solve for x
    x = 759,589,466.69/31,578.80
  6. Step 6: Final answer
    x = 24,053.78

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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.