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Finding the Fourth Proportional to 31,782.74, 43,861.16 and 17,636.90

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Solution

The fourth proportional to 31,782.74, 43,861.16 and 17,636.90 is: 24,339.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,782.74 : 43,861.16 = 17,636.90 : x
  2. Step 2: Convert to fraction form
    31,782.74/43,861.16 = 17,636.90/x
  3. Step 3: Cross multiply
    31,782.74x = 43,861.16 × 17,636.90
  4. Step 4: Simplify right side
    31,782.74x = 773,574,717.59
  5. Step 5: Solve for x
    x = 773,574,717.59/31,782.74
  6. Step 6: Final answer
    x = 24,339.46

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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.