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Finding the Fourth Proportional to 31,777.95, 43,853.61 and 17,630.80

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Solution

The fourth proportional to 31,777.95, 43,853.61 and 17,630.80 is: 24,330.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,777.95 : 43,853.61 = 17,630.80 : x
  2. Step 2: Convert to fraction form
    31,777.95/43,853.61 = 17,630.80/x
  3. Step 3: Cross multiply
    31,777.95x = 43,853.61 × 17,630.80
  4. Step 4: Simplify right side
    31,777.95x = 773,174,227.19
  5. Step 5: Solve for x
    x = 773,174,227.19/31,777.95
  6. Step 6: Final answer
    x = 24,330.53

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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.