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Finding the Fourth Proportional to 31,765.99, 43,842.32 and 17,623.39

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Solution

The fourth proportional to 31,765.99, 43,842.32 and 17,623.39 is: 24,323.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,765.99 : 43,842.32 = 17,623.39 : x
  2. Step 2: Convert to fraction form
    31,765.99/43,842.32 = 17,623.39/x
  3. Step 3: Cross multiply
    31,765.99x = 43,842.32 × 17,623.39
  4. Step 4: Simplify right side
    31,765.99x = 772,650,215.75
  5. Step 5: Solve for x
    x = 772,650,215.75/31,765.99
  6. Step 6: Final answer
    x = 24,323.19

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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.