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Finding the Fourth Proportional to 31,578.36, 43,577.91 and 17,431.20

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Solution

The fourth proportional to 31,578.36, 43,577.91 and 17,431.20 is: 24,054.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,578.36 : 43,577.91 = 17,431.20 : x
  2. Step 2: Convert to fraction form
    31,578.36/43,577.91 = 17,431.20/x
  3. Step 3: Cross multiply
    31,578.36x = 43,577.91 × 17,431.20
  4. Step 4: Simplify right side
    31,578.36x = 759,615,264.79
  5. Step 5: Solve for x
    x = 759,615,264.79/31,578.36
  6. Step 6: Final answer
    x = 24,054.93

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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.