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Finding the Fourth Proportional to 31,775.88, 43,851.14 and 17,434.80

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Solution

The fourth proportional to 31,775.88, 43,851.14 and 17,434.80 is: 24,060.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,775.88 : 43,851.14 = 17,434.80 : x
  2. Step 2: Convert to fraction form
    31,775.88/43,851.14 = 17,434.80/x
  3. Step 3: Cross multiply
    31,775.88x = 43,851.14 × 17,434.80
  4. Step 4: Simplify right side
    31,775.88x = 764,535,768.50
  5. Step 5: Solve for x
    x = 764,535,768.50/31,775.88
  6. Step 6: Final answer
    x = 24,060.25

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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.