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Finding the Fourth Proportional to 31,594.72, 43,601.16 and 17,447.80

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Solution

The fourth proportional to 31,594.72, 43,601.16 and 17,447.80 is: 24,078.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,594.72 : 43,601.16 = 17,447.80 : x
  2. Step 2: Convert to fraction form
    31,594.72/43,601.16 = 17,447.80/x
  3. Step 3: Cross multiply
    31,594.72x = 43,601.16 × 17,447.80
  4. Step 4: Simplify right side
    31,594.72x = 760,744,319.45
  5. Step 5: Solve for x
    x = 760,744,319.45/31,594.72
  6. Step 6: Final answer
    x = 24,078.21

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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.