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Finding the Fourth Proportional to 31,710.89, 43,760.93 and 17,563.73

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Solution

The fourth proportional to 31,710.89, 43,760.93 and 17,563.73 is: 24,237.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,710.89 : 43,760.93 = 17,563.73 : x
  2. Step 2: Convert to fraction form
    31,710.89/43,760.93 = 17,563.73/x
  3. Step 3: Cross multiply
    31,710.89x = 43,760.93 × 17,563.73
  4. Step 4: Simplify right side
    31,710.89x = 768,604,852.45
  5. Step 5: Solve for x
    x = 768,604,852.45/31,710.89
  6. Step 6: Final answer
    x = 24,237.89

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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.