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Finding the Fourth Proportional to 31,570.14, 43,567.02 and 17,229.84

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Solution

The fourth proportional to 31,570.14, 43,567.02 and 17,229.84 is: 23,777.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,570.14 : 43,567.02 = 17,229.84 : x
  2. Step 2: Convert to fraction form
    31,570.14/43,567.02 = 17,229.84/x
  3. Step 3: Cross multiply
    31,570.14x = 43,567.02 × 17,229.84
  4. Step 4: Simplify right side
    31,570.14x = 750,652,783.88
  5. Step 5: Solve for x
    x = 750,652,783.88/31,570.14
  6. Step 6: Final answer
    x = 23,777.30

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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.