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Finding the Fourth Proportional to 31,538.61, 43,523.37 and 17,391.51

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Solution

The fourth proportional to 31,538.61, 43,523.37 and 17,391.51 is: 24,000.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,538.61 : 43,523.37 = 17,391.51 : x
  2. Step 2: Convert to fraction form
    31,538.61/43,523.37 = 17,391.51/x
  3. Step 3: Cross multiply
    31,538.61x = 43,523.37 × 17,391.51
  4. Step 4: Simplify right side
    31,538.61x = 756,937,124.59
  5. Step 5: Solve for x
    x = 756,937,124.59/31,538.61
  6. Step 6: Final answer
    x = 24,000.33

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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.