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Finding the Fourth Proportional to 31,646.70, 43,672.77 and 17,500.05

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Solution

The fourth proportional to 31,646.70, 43,672.77 and 17,500.05 is: 24,150.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,646.70 : 43,672.77 = 17,500.05 : x
  2. Step 2: Convert to fraction form
    31,646.70/43,672.77 = 17,500.05/x
  3. Step 3: Cross multiply
    31,646.70x = 43,672.77 × 17,500.05
  4. Step 4: Simplify right side
    31,646.70x = 764,275,658.64
  5. Step 5: Solve for x
    x = 764,275,658.64/31,646.70
  6. Step 6: Final answer
    x = 24,150.25

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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.