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Finding the Fourth Proportional to 31,665.72, 43,699.98 and 17,518.32

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Solution

The fourth proportional to 31,665.72, 43,699.98 and 17,518.32 is: 24,175.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,665.72 : 43,699.98 = 17,518.32 : x
  2. Step 2: Convert to fraction form
    31,665.72/43,699.98 = 17,518.32/x
  3. Step 3: Cross multiply
    31,665.72x = 43,699.98 × 17,518.32
  4. Step 4: Simplify right side
    31,665.72x = 765,550,233.63
  5. Step 5: Solve for x
    x = 765,550,233.63/31,665.72
  6. Step 6: Final answer
    x = 24,175.99

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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.