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Finding the Fourth Proportional to 31,775.77, 43,850.96 and 17,434.68

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Solution

The fourth proportional to 31,775.77, 43,850.96 and 17,434.68 is: 24,060.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,775.77 : 43,850.96 = 17,434.68 : x
  2. Step 2: Convert to fraction form
    31,775.77/43,850.96 = 17,434.68/x
  3. Step 3: Cross multiply
    31,775.77x = 43,850.96 × 17,434.68
  4. Step 4: Simplify right side
    31,775.77x = 764,527,455.29
  5. Step 5: Solve for x
    x = 764,527,455.29/31,775.77
  6. Step 6: Final answer
    x = 24,060.08

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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.