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Finding the Fourth Proportional to 31,853.59, 43,956.88 and 17,706.13

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Solution

The fourth proportional to 31,853.59, 43,956.88 and 17,706.13 is: 24,433.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,853.59 : 43,956.88 = 17,706.13 : x
  2. Step 2: Convert to fraction form
    31,853.59/43,956.88 = 17,706.13/x
  3. Step 3: Cross multiply
    31,853.59x = 43,956.88 × 17,706.13
  4. Step 4: Simplify right side
    31,853.59x = 778,306,231.67
  5. Step 5: Solve for x
    x = 778,306,231.67/31,853.59
  6. Step 6: Final answer
    x = 24,433.86

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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.