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Finding the Fourth Proportional to 31,746.33, 43,813.05 and 17,601.90

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Solution

The fourth proportional to 31,746.33, 43,813.05 and 17,601.90 is: 24,292.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,746.33 : 43,813.05 = 17,601.90 : x
  2. Step 2: Convert to fraction form
    31,746.33/43,813.05 = 17,601.90/x
  3. Step 3: Cross multiply
    31,746.33x = 43,813.05 × 17,601.90
  4. Step 4: Simplify right side
    31,746.33x = 771,192,924.80
  5. Step 5: Solve for x
    x = 771,192,924.80/31,746.33
  6. Step 6: Final answer
    x = 24,292.35

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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.