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Finding the Fourth Proportional to 31,647.80, 43,674.82 and 17,501.14

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Solution

The fourth proportional to 31,647.80, 43,674.82 and 17,501.14 is: 24,152.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,647.80 : 43,674.82 = 17,501.14 : x
  2. Step 2: Convert to fraction form
    31,647.80/43,674.82 = 17,501.14/x
  3. Step 3: Cross multiply
    31,647.80x = 43,674.82 × 17,501.14
  4. Step 4: Simplify right side
    31,647.80x = 764,359,139.29
  5. Step 5: Solve for x
    x = 764,359,139.29/31,647.80
  6. Step 6: Final answer
    x = 24,152.05

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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.